The width of the rectangle is 6 cm less than its length. find the area of a rectangle if its perimeter is 52 cm.
June 25, 2021 | education
| Let’s denote the width of the rectangle as x, then the length is – (6 + x) centimeters. Knowing. that the perimeter is 52 centimeters, we make the equation. The perimeter is the sum of the lengths of all sides of the rectangle.
2 * (x + x + 6) = 52;
2x + 6 = 52/2;
2x + 6 = 26;
2x = 26 – 6;
2x = 20;
x = 20/2;
x = 10.
The width is 10 cm, and the length is 6 + 10 = 16 cm.Let’s find the value of the area of the rectangle.
S = 16 * 10 = 160 cm².
Answer: 160 cm².
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