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s2, the side length squared = area = 121

s = square root 121 = 11

length total = perimeter = sum of all 4 sides = 4s = 44 cm

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Q: What is the length of a wire which is bent to form a square of area 121 cm square?
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What is in simplest radical form the length of a side of a square whose diagonal is 11?

the diagnol is the side of the square times squareroot(2) so the length of the side is 11/squareroot(2) and in simplified form your final answer is 11*squareroot(2)/2


How do you prove the formula for the area of a triangle?

Easiest wayDraw a three inch by three inch square. add lines at one inch marks to form a small grid. draw line diagonally across to form two triangles. count the number of squares in one triangle (remember the squares with the diagonal line are only half a square)Did you get 4 1/2?A X B divided by two 3 X 3= 9 / 2 = 4.5To arrive to the forumla for area of triangle, lets look at the area of square and rectanlge first: Area of square: side x side Area of rectangle: length x width Notice that the formulas for area of square and rectangle is very similar. The squre is a special case only, so there is not much difference. Let's take the special case first- area of square: Area= side x side If I want to find the area of a triangle from this square, you have to divide the square in half diagonally. This means: (side x side)/2 = area of triangle Let's take a look at retangle now: Area of rectangle: length x width Similarly like the square, you divide the rectangle diagonally by half. This means: (length x width)/2 Conclusion: Thus, area of triangle= (base x height)/2 The base can be considered as one of the sides of the rectangle/square, and the height can be considered as the other side of the rectangle/square. THE FORMULA OF TRIANGLE COMES FROM HALF THE AREA OF RECTANGLE/SQUARE! Visit quickanswerz.com for more math help and tutoring!Area is measured in square units. If we are given a region we divide the region into unit squares.Then we count the number squares, which is the area of the region.Consider a rectangle of length 10 units and width 5 units.The area of the rectangle is 50 square units.It is because we can divide the rectangle into 10 equal parts along the length.Similarly, we can divide the rectangle into 5 equal parts along the width. Now we have divided the entire rectangle into unit squares.If we count the number of squares we get 50 unit squares.We get this by multiplying the length and the width. Area = Length*Width square units.This is the same for a parallelogram too.Area of a parallelogram is base * height square unitsThis is how the concept of area has come.We can find the area of the triangle also.A rectangle or a parallelogram can be divided into two equal triangles by a diagonal.Half of the area of the rectangle(or parallelogram) gives the area of the triangle.In fact, we can extend any triangle into an parallelogram.So, we get the formula, area of a triangle = (base* height)/2 square units.Source: www.icoachmath.com


The perimeter of the square is 16 inches what is the circumference?

The perimeter of a plane figure is the length of its boundary. Thus the perimeter of a square of length L is 4L. So the perimeter of a square of length 4 is 4 x 4 = 16 (4 + 4 + 4 + 4 = 16). The perimeter of a circle is the length of its circumference.If you are asking for the circumference of the circle circumscribed and inscribed in this square, their circumference will be:First, we need to find the measure length of their radius. We know that the diagonals of the square form 4 congruent isosceles triangles with the base length equal to the length of the square, and length side equal one half of the diagonal length ( the diagonals of a square are equal in length and bisect each other (and bisect also the angle of the square ), so the center of the circumscribed circle of the square will be the point of their intersection, and its radius will be the one half of the diagonal of the square). We can find the diagonal length by using the Pythagorean theorem. So from the right trianglewhich is formed by drawing one of the diagonals, we find the length of the diagonal which is also the hypotenuse of this right triangle, and which is equal to square root of[2(4^2)]. So the length of the diagonal is equal 4(square root of 2), and its half is 2(square root of 2), which is the length of the radius of the circumscribed circle. So its circumference is equal to (2)(pi)(2(square root of 2)) = 4(square root of 2)pi.Now, we need to know what is the length of the radius of the inscribed circle, and what is this radius. Let's look at the one of the fourth triangles that are formed by drawing the two diagonals of the square. If we draw the perpendicular from the intersection of the diagonals to the side of the square, this perpendicular is the median of the side of the square and also the altitude of this isosceles triangle. Let's find the measure of its length. Again we can use the Pythagorean theorem. So this measure is equal to the square root of [(2(square root of 2))^2] - 2^2] which is equal to 2. If we extend this perpendicular to the side of the triangle and draw another perpendicular from the point of the intersection of the diagonals to the other sides of the square, their length will be also 2. Since they have the same distance from the point of the intersection of the diagonals, we can say that their length is the length of the radius of the inscribed circle, and the point of the intersection of the diagonals is also its center. So the measure of length of the radius is 2, and the circumference of the inscribed circle is (2)(pi)(r) = (2)(pi)(2) = 4pi.As a result, we can say that the point of the intersection of the diagonals of a square is the center of its inscribed and circumscribed circle, and the perpendicular lines drawing from this point to the sides of the square bisect each other. (These perpendiculars are parallel and equal in length to the square length, because we know that two lines that are perpendicular respectively to the other two parallel lines, are equal in length and parallel between them). We also can say that in an isosceles triangle with 45 degrees base angle, the median is not only also an altitude, but its length is one half of the length of the base.


What is is the length and width of 2000 square meters?

First of all, there is no reason to assume, from the question, that the area is in the form of a rectangle. Even if it were, the length can have any value greater than or equal to sqrt(2000) = 44.721 m (approx) Let L be any number greater than or equal to 44.721 and let W = 2000/L Then the area L*W = L*2000/L = 2000 and since there are an infinite number of possible values of L, there are infinitely many possible answers to the question.


What is standard form for square roots?

what is the standard form of squaretoot -16

Related questions

When a wire is bent to form a square its area becomes A square cm square What is length of the wire?

(4 times the square root of 'A') centimeters.


Why does the area of a square come out different from the area of a rectangle?

A square is a special form of a rectangle where Length = Width. So L*W for a square would be L*L = L^2 where L is the length of a side.


When Key on drew a square with an area of 225 square centimeters what is the perimerter of the square how did you get your answers?

The perimetre is 60cm.Because a perfect square has equal sides, which are in length the square root of the area because multiplying the length of a square by itself gives it's area. So:sqrt(225) = 15cmA square has 4 sides of the same length, so if 1 side is 15cm all 4 sides that form the perimetre must be 15*4=60cm.


How many feet make up the length of one side of the perimeter of 1 square acre?

Since a square acre is a measure of hyper-volume in 4-dimensional space, I assume the question is referring to an area of 1 acre in the form of a square. In that case, the length of a side would be 208.7 feet (approx).


A wire of length 100 cm is cut into two parts and each is bent to form a square If the sum of the Ares of the tow squares is 425 cm find the lengths of the sides of the two squares?

Cut wire into 20cm & 80cm lengths...20cm length bends into a square with 5cm sidesarea therefore = 5 x 5 = 25sq cm80cm length bends into a square with 20cm sidesarea therefore = 20 x 20 = 40sq cm25 + 400 = 425sq cm


Which quadrilaterals can you form with four sticks of the same length?

Rhombus or square.


What the ratio of the area of circle to the area of square in simplest form?

12


How is a trapazoid different form a square?

All four sides of a square are of equal length. That is not true of a trapezoid.


What is the square footage of a 15 x 15 foot room?

A 15 x 15 foot room has 225 square feet of floor area. The area of a rectangle is length times width. Yes, this is a square, but a square is a special form of rectangle. This square is 15 feet long and 15 feet wide, so 15 feet x 15 feet = 225 square feet for the math.


What is the difference between length and breadth?

A rectangular shape has a long side (length) and a breadth (width, short side). A square still has a length and width, though both are the same measurement to form a square.


How do you work out the volume of a square?

Since a square is a 2 dimensional object, it does not have a volume. You can however calculate the area of a square = length x width. Squares are also very useful in trigonometry. However, you can calculate the volume of a cube (6 squares arranged edge to edge to form a box) The volume of a cube = length x width x height


Is bent an adverb?

No. Bent is a form of the verb "to bend" and is an adjective.