The height of the rectangle is 75% of its base. Find the pyrimeter of this rectangle if its area is 48 m2.
| February 18, 2021 | education
Let’s denote the base of the rectangle – x meters, then the height of the rectangle is 0.75x meters. Let’s make an equation.
Find x:
0.75x * x = 48.
0.75x² = 48.
x² = 48: 0.75.
x² = 64.
x = 8.
The base of the rectangle is 8 meters, then the height of the rectangle is:
0.75 * x = 0.75 * 8 = 6 meters.
The height of the rectangle is 6 meters.
Find the perimeter of the rectangle. We add the base and height and multiply by 2:
(8 + 6) * 2 = 28 meters.
The perimeter of the rectangle is 28 meters.
Answer: The perimeter of the rectangle is 28 meters.
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