The width of the rectangle is 20 cm and the length is 3 times the width. Find the area of the square

| April 8, 2021 | education

The width of the rectangle is 20 cm and the length is 3 times the width. Find the area of the square which is equal to the perimeter of the given rectangle.

1) What is the length of the rectangle? If it is … times more, then you need to multiply.

20 * 3 = 60 (cm)

2) What is the perimeter of the rectangle? The perimeter P of a rectangle is equal to the sum of the lengths of its sides. P = 2 (a + b).

P = 2 (20 + 60) = 2 * 80 = 160 (cm)

3) What is the side of the square? If the perimeter of the square is equal to the perimeter of the rectangle, then to find the side of the square, you need to divide the perimeter of the rectangle into 4 sides (by 4 because the sides of the square are equal).

160: 4 = 40 (cm)

4) What is the area of ​​the square? The area of ​​the square S is equal to the product of its sides. S = a * a = a ^ 2.

S = 40 * 40 = 1600 (cm ^ 2)

Answer. 1600 cm ^ 2.



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