A square and a rectangle have the same area -64 cm in the frame, find out the perimeter
A square and a rectangle have the same area -64 cm in the frame, find out the perimeter of the rectangle if its length is 2 times the length of the side of the square.
The area of a square is calculated by the formula the length of its side in a square. We calculate the length of the side of the square using the formula square root of the area:
1) √64 cm2 = 8 cm side length of the square.
Let’s calculate the length of the rectangle:
2) 8 cm * 2 = 16 cm rectangle length.
The area of a rectangle is calculated as the product of its length and width. Distance rectangle width:
3) 64cm2: 16cm = 4cm rectangle width.
We calculate the perimeter of a rectangle using the formula the sum of its length and width multiplied by two:
4) 2 * (16 cm + 4 cm) = 2 * 20 cm = 40 cm perimeter of the rectangle.
Answer: the perimeter of the rectangle is 40 cm.