The perimeter of the rectangle is 6m 30cm, one side is 8cm smaller than the other

The perimeter of the rectangle is 6m 30cm, one side is 8cm smaller than the other, which is what the sides and the area are equal to.

First, let’s convert the value of the perimeter of the rectangle to centimeters.

1 m = 100 cm.

6 m 30 cm = 6 * 100 + 30 = 630 cm.

Find the sum of the length and width of the shape.

Divide the perimeter into 2 parts.

630/2 = 315 cm.

Since one of the sides is 8 cm smaller, then, without taking into account the difference, the sum of the length and width will be:

315 – 8 = 307 cm.

Thus, the width will be:

307/2 = 153.5 cm.

The length will be equal to:

153.5 + 8 = 161.5 cm.

The area of this rectangle will be equal to:

153.5 * 161.5 = 24790.25 cm2

Answer:

Sides 161.5 and 153.5 cm, area 24790.25 cm2