Rectangle and square have the same area. the length of the rectangle is 160 dm

| April 25, 2021 | education

Rectangle and square have the same area. the length of the rectangle is 160 dm, the width is 40 dm. which figure has a larger perimeter and by how much.

1. The length of the rectangle is 160 dm, the width is 40 dm.

Then its perimeter is P1 = (160 + 40) * 2 = 200 * 2 = 400 dm.

The area of the rectangle is S = 160 * 40 = 6400 sq.dm.

2. The area of the rectangle is equal to the area of the square.

All sides of a square are equal.

Then its side is equal to the square root of 6400 and is 80 dm.

3. Find the perimeter of the square.

P2 = 4 * 80 = 320 dm.

4. 400 dm> 320 dm, which means that the perimeter of the rectangle is greater than the perimeter of the square.

The difference is 400 – 320 = 80 dm.

Answer: The perimeter of the rectangle is 80 dm larger than the perimeter of the square.



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