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

August 22, 2021 | education

| **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

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