The perimeter of the rectangle is 60 and one side is 6 larger than the other. Find the area of the rectangle.
April 11, 2021 | education
| The first step is to designate the width of the rectangle as “x” cm, then the length is equal to (x + 3) cm. Knowing that the perimeter of the rectangle is 60 centimeters, we create an equation.
(x + x + 3) * 2 = 60;
2x + 3 = 60/2;
2x + 3 = 30;
2x = 30 – 3;
2x = 27;
x = 13.5 cm.
We calculate what the length of the rectangle is, knowing that the width is 13.5 cm.
13.5 + 6 = 19.5 cm.
We calculate what the area of a given rectangle is, knowing that to find it, you need to multiply the length by the width.
S = 19.5 * 13.5 = 263.25 cm².
Answer: 263.25 cm².
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