The perimeter of the rectangle is 38 cm. Its length is 1 whole 5/7 times its width. find the area of the rectangle.

First you need to determine the sum of the length and width of the rectangle.

To do this, you need to divide the perimeter of the rectangle by 2, since the opposite sides of the rectangle are equal to each other.

Thus, we get:

38/2 = 19 cm.

We denote the length of the rectangle as a.

Since the length of the rectangle is 1 5/7 times longer, it will be:

1 5/7 * a.

Let’s make an equation.

1 5/7 * a + a = 19.

2 5/7 * a = 19.

a = 19/2 5/7 = 19/19/7 = 19 * 7/19 = 7 cm (width).

The length will be:

1 5/7 * 7 = 12/7 * 7 = 12 cm.

Square:

7 * 12 = 84 cm2

Answer:

Area 84 cm2