A rectangle has one side 19mm and the other 24mm longer. Find the side of a square that has the same

A rectangle has one side 19mm and the other 24mm longer. Find the side of a square that has the same perimeter as this rectangle?

Given:

length – 19 mm;

width – 24 cm longer;

a =? mm

P = P =? mm.

Let’s find the width of the rectangle:

19 mm + 24 mm = 43 (mm)

The perimeter is calculated by the formula: P = 2 * (a + b) – where, a is the length, b is the width.

1) P = 2 * (a + b) = 2 * (19 + 43) = 2 * 62 = 124 (mm).

By the statement of the problem, it is known that the square has the same perimeter as this rectangle. The perimeter of the square is calculated by the formula: P = 4 * a – where, and is the side of the square, which means the side of the square using the inverse formula:

2) a = P: 4 = 124: 4 = 31 (mm).

Answer: 31 mm. side of a square.