One side of the rectangle is 36 dm and the other is 16 dm. find the side of a square equal to it.

Given:

rectangle ABCE,

AB = 36 decimeters,

BC = 16 decimetres,

Find the side of the square KROН equal to the rectangle ABCE, that is, the side KР -?

Solution:

Consider a rectangle ABCE. Let’s find its area. The area is equal to the product of width and length, then S ABCE = AB * BC = 36 * 16 = 576 dm ^ 2.

Shapes are equal when they have the same area. Therefore, the area of the square KРOН, that is, S KРOН = 576 dm ^ 2. Then KР = √ 576 = 24 decimeters.

Answer: 24 decimetres.