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Yes. The maximum area for a rectangle with a given perimeter is the square (in this case, 5 cm x 5 cm = 25 cm2), and any area between that and 0 is possible by slowly stretching out the square, increasing its length while decreasing its width.
If you'd like to figure out the dimensions of the rectangle with a perimeter of 20 and an area of 20 (I'll leave off the units for simplicity), we can use algebra:
Let x and y be the length and width. We know two things:
Area: xy = 20
Perimeter: 2x + 2y = 20
Solve the second equation for y and we get
y = 10 - x.
Substituting that in the first equation we get
x(10 - x) = 20
which turns into the quadratic equation
x2 - 10x + 20 = 0
Applying the quadratic equation, we get
x = 5 +/- sqrt(5), which gives us our two dimensions:
5 + sqrt(5) and 5 - sqrt(5)
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What is a parallegram perimeter of 17cm and 20cm and 30cm?
what is the perimeter of the parallelogram 20cm 30cm 17cm=100
What is the formula of the area and perimeter?
Example: To find the perimeter of a rectangular box, with length as 6cm and Breadth as 4 cm, we need to use the formula, Perimeter of a Rectangle = 2 (L+B) = 2 ( 6 cm + 4 cm) = 2 × 10 cm = 20cm.
What is the area of a square with a 20cm perimeter?
25 cm2
What is the perimeter of a pentagon when each side is 20cm long?
100 is the answer.
What is the area of a square if the perimeter is 20cm?
The area of square is : 400.0
How many meters in 20cm squared?
20cm2 = 0.002m2
25cm and 20cm what is it perimeter?
If you are talking about a rectangle, then it is 90 cm.
What is the perimeter of a rectangle with sides measuring 7cm and 3cm?
20cm
What is the perimeter of a rectangle width is 20cm the length is 8cm?
Perimeter = 20+8+20+8 = 56 cm.....
Can you show a rectangle with an area of 20cm square and 18cm perimeter?
The dimensions of the rectangle are 5 cm by 4 cm
What is the perimeter of a rectangle 6cm by 4cm?
The perimeter of a rectangle is calculated by adding up the lengths of all four sides. In this case, the rectangle has two sides of length 6cm and two sides of length 4cm. Therefore, the perimeter would be 6cm + 6cm + 4cm + 4cm = 20cm.
What is the area of a trapezoid if the perimeter is 32?
Unlike a square, knowing the perimeter of a trapezoid is not enough to be able to calculate its area. Think of a rectangle with a perimeter of 20cm. One possibility is that it has a length of 8cm and a width of 2cm. This would give and area of 16cm2. However the rectangle could have also had a length of 7cm and a width of 3cm as this would also give a perimeter of 20cm. However this rectangle now has an area of 21cm2. To be able to calculate the area of the trapezoid, you would need to know more about it than just its perimeter.
What is the perimeter of a rectangle that is 20cm by 2cm which has a quarter circle of radius 11cm on one 20cm side running off the 2cm side using 3.14 for π?
Normally, the amount of the side of the rectangle below the quarter circle on it would expected to be calculated. However, the radius of the circle equals the amount that is subtracted, but in calculating the perimeter it has to be added back in again as it forms part of the perimeter. Thus the perimeter is the perimeter of the rectangle plus a quarter of the circumference of the circle. → perimeter = 2 × (20cm + 2 cm) + ¼ × 2 × π × 11 cm ≈ 44 cm + 3.14 × 11/2 = 61.27 cm.
What is a parallegram perimeter of 17cm and 20cm and 30cm?
what is the perimeter of the parallelogram 20cm 30cm 17cm=100
What is the formula of the area and perimeter?
Example: To find the perimeter of a rectangular box, with length as 6cm and Breadth as 4 cm, we need to use the formula, Perimeter of a Rectangle = 2 (L+B) = 2 ( 6 cm + 4 cm) = 2 × 10 cm = 20cm.
What would be the perimeter of a square with sides of 5cm?
4 x 5cm = 20cm
What is the area of a square with a 20cm perimeter?
25 cm2
