# The perimeter of a rectangle is 36 cm, the sum of the lengths of its three sides is 25 cm. What is the area of this rectangle?

August 26, 2021 | education

| To find the area of a given rectangle, apply the following formula to calculate it:

S = a * b.

So we have to start by calculating the sides of the rectangle. We know the perimeter of the rectangle – 36 cm.And we also know the sum of the lengths of the three sides of the rectangle – 25 cm.

If we subtract the sum of the lengths of the three sides from the perimeter, we get one of them:

36 – 25 = 11 cm.

Let’s calculate the length of the second side:

2 (11 + b) = 36;

11 + b = 18;

b = 18-11;

b = 7 cm.

It remains to find the area of the rectangle:

S = 7 * 11 = 77 cm2.

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