What is the area of a rectangle if its perimeter is 28 and one side is 8 larger than the other?

1) Let’s find out how long the first side of the rectangle has, if it is 8 cm less than the second, and the sum of all sides is 28 cm.We make an equation where:

X is the length of the first side;

X + 8 is the length of the second side;

28 is the sum of the lengths of all sides.

(X + X + 8) * 2 = 28;

2X + 2X + 16 = 28;

4X = 28 – 16;

4X = 12;

X = 12/4;

X = 3 cm.

2) Find out the length of the second side if it is 8 cm longer than the first.

3 + 8 = 11 cm.

3) Find out what area the rectangle has.

3 * 11 = 33 m².

Answer: the area of the rectangle is 33 m².