# The length of the rectangle is 5/17 of the perimeter, find the area of the rectangle if its perimeter is 102cm.

September 29, 2021 | education

| Let’s find the length of the rectangle:

5/17 * 102 = 30 cm.

Let’s find the width of the rectangle. Let’s take the width of the rectangle as “x”. The perimeter of the rectangle is the sum of the lengths of the sides. Let’s make an equation and solve it:

2 * (x + 30) = 102

x + 30 = 51

x = 51 – 30

x = 21 cm.

Find the area of the rectangle by multiplying the length by the width:

30 * 21 = 630 cm2

Answer: The area of the rectangle is 630 cm2.

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