# The area of the rectangle is 703 m2, and its width is 19m. Find the area of a square

August 29, 2021 | education

| **The area of the rectangle is 703 m2, and its width is 19m. Find the area of a square, the perimeter is equal to the perimeter of the given rectangle.**

First of all, we determine the value of the length of the rectangle, provided that its area = 703 m², and the width is 19 m.

Since S = a * b, therefore a = S: b = 703: 19 = 37 m.

The perimeter of such a figure corresponds to the formula: P = 2a + 2b = 2 * 19 + 2 * 37 = 38 + 74 = 112 m.

For a square P = 4a, it means a = P: 4 = 112: 4 = 28 m.

S quad = a² = 28² = 784 m².