The rectangle is attached by the smaller side to the square. Find the area of this rectangle

| September 7, 2021 | education

The rectangle is attached by the smaller side to the square. Find the area of this rectangle if you know that its length is 2 times its width, and the perimeter of the square is 64 cm.

The first step is to calculate the length of the side of the square, knowing that its perimeter is 64 centimeters. Since all 4 sides of a square are equal, its perimeter can be found by the formula P = 4 * a, where a is the length of the side.

a = 64/4 = 16 cm.

Thus, the width of the rectangle is 16 cm. Let us calculate what the length is, knowing that it is 2 times the width.

16 * 2 = 32 cm.

Let’s calculate what the area of a rectangle 16 cm wide and 32 cm long is equal to. The area of a rectangle is equal to the product of its length and width.

S = 16 * 32 = 512 cm².

Answer: 512 cm².



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