How to find the area of a rectangle if it is known that one side is 8 cm larger than the other, and its perimeter is 28 dm.

To subtract the area of a given shape, we first need to know the size of the sides of the rectangle. To do this, let’s designate one side with an x. The second side will be x + 8. Recall that the perimeter is the sum of all 4 sides of the rectangle. With this in mind, we will compose the following equation:

x + x + 8 + x + x + 8 = 28.

4 x = 28 – 8 – 8.

4 x = 12.

x = 12/4.

x = 3.

Examination.

3 + 3 + 8 + 3 + 3 + 8 = 28.

The smaller side is 3 in.

The second side is 8 + 3 = 11 dm.

Knowing both sides, we are looking for the area:

S = 3 * 11 = 33 dm sq.