# The sides of the rectangle are 5 to 8, its perimeter is 39. Find the area of the rectangle.

August 29, 2021 | education

| 1. Let the length of one part be equal to c, then compose the expression for the perimeter of the rectangle:

2 * 5s + 2 * 8s = 39,

10s + 16s = 39.

26s = 39,

c = 1.5.

2. Find the sides of the rectangle, multiply the length of one part by the number of parts corresponding to each side:

1 side = 1.5 * 5 = 7.5,

2 side = 1.5 * 8 = 12.

3. Find the area by multiplying one side by the other:

Area = 12 * 7.5 = 90 units 2.

Answer: the area of the rectangle is 90 units2.

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