The length of the rectangle is 2 times longer or 15 cm longer than the width. Find the perimeter (in cm) of the rectangle.
September 17, 2021 | education
| Let the width of the rectangle be x, then, by the problem statement, the length of the rectangle is 2x or (x + 15).
We find the perimeter of the rectangle by the formula:
P = (a + b) * 2.
Let’s compose and solve the equation.
(x + 2x) * 2 = (x + x +15) * 2
6x = 4x + 30
2x = 30
x = 15 (cm) – the width of the rectangle.
15 + 15 = 30 (cm) or 2 * 15 = 30 (cm) – the length of the rectangle.
(15 + 30) * 2 = 90 (cm) – the perimeter of the rectangle.
Answer: 90 cm.
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