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A polygon is divided into 8 congruent squares The area of the polygon is 72 feet what is the perimeter?
148
Two Pythagoras triangles with area equal to perimeter?
5, 12, 13 and 6, 8, 10
True or False Can The area of a regular pentagon be found by breaking the pentagon into five congruent triangles and then taking the sum of their areas?
True.
Is the area always larger than the perimeter?
No the area is not always larger than the perimeter. Ex. The area of a reectangle could be 4 feet. The width could be 4 while the length is 1. The perimeter total would be 10.
Will the perimeter and the area of a triangle ever equal one another?
Consider any triangle with given angles. If you expand it by a linear scale factor x, then its perimeter is multiplied by x, and its area by x2. When x is big, x2 is bigger than x. The area thus grows relative to the perimeter; as x tends to infinity, the ratio area/perimeter (call it R) tends to infinity. When x is small, x2 is smaller than x. The area thus shrinks relative to the perimeter; as x tends to zero, the ratio R tends to zero. For perimeter to equal area, R must equal 1. Since R is continuously defined, and (as we have just seen) it varies between zero and infinity, there must be some value of x that renders R = 1. This proves that an infinite number of triangles have perimeter equal to area, since our reasoning applied to triangles of any shape. To give one example, we'll find the equilateral triangle with perimeter equal to area. Set the length of a side equal to 2y. area = height x base / 2 = y2sqrt3 perimeter = 6y So, solve 6y = y2sqrt3 6 = ysqrt3 y = 6/sqrt3 = 2sqrt3 One more trivial example: if perimeter equals zero, then it definitely equals area.
Are 2 triangles congruent if they have the same area?
Not always
Triangles are congruent if the have the same?
area
Do congruent triangles have the same area?
yes
Triangles are congruent if they have the same what?
Triangles are congruent if the lengths of their corresponding sides as well as the measures of their corresponding angles are the same.
If two triangles are congruent do they have the same area?
yes they have same area
Do all triangles with same side lengths have the same area?
Only if they are congruent triangles
How do you find the area of a polygon with no congruent sides?
A polygon with no congruent sides is not going to have any convenient formula by which the area can be calculated, however, you can always break it up into a series of triangles and rectangles, and then calculate the area of those, and add up the results.
If two triangles have the same perimeter will they have the same area?
fu
What is the difference between the area of two triangles within two congruent trapezoids?
There is not enough information about the triangles to be able to answer the question.
How do you find perimeter and area of triangles?
Perimeter . . . add up the lengths of all three sides. Area . . . multiply (half the length of the base) by (the height).
Are two triangles congruent if they have same area?
Not necessarily. You find the area of a triangle with the formula 1/2*base*height=Area. Imagine two triangles, one with 3 inches for both the base and height, and one with 4.5 inches for the height and 2 inches for the base. Both of these triangles will have 9 sq. in. for their areas, but they are not congruent.
What is the area and perimeter of a large square if two congruent rectangles are arranged so they from a square with each perimeter of rectangles is 36 inches?
area = 144 square units perimeter = 48 units
