One of the sides of the parallelogram is 3 smaller than the other, and the perimeter of the parallelogram is 24 cm
May 18, 2021 | education
| One of the sides of the parallelogram is 3 smaller than the other, and the perimeter of the parallelogram is 24 cm. Calculate what the sides of the parallelogram are equal to.
The perimeter of a parallelogram is found by the formula:
P = 2 * (a + b).
One of the sides of the parallelogram is 3 times smaller than the other, which means the length is 3 times the width.
We take the width as x, so the length will be (3 * x).
Let’s make an equation.
24 = 2 * (3 * x + x).
24 = 2 * 4 * x.
8 * x = 24.
x = 3 cm, parallelogram width.
Find the length of the parallelogram.
3 * 3 = 9 cm.
Answer: the sides of the parallelogram are 9 cm and 3 cm.
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