The area of a rhombus with a side of 18 cm and a height of 7 cm is equal to the area of a rectangle with a side of 14 cm.

univerkov | March 13, 2021 | education

The area of a rhombus with a side of 18 cm and a height of 7 cm is equal to the area of a rectangle with a side of 14 cm. Find the perimeter of the rectangle.

To find the area of a rhombus, use the formula:
S = a * h = 18 * 7 = 126 (cm²).
Find the second side of the rectangle, knowing its area and side:
b = S / a = 126/14 = 9 (cm).
The sides are known, we find the perimeter:
P = 2 * (a + b) = 2 * (14 + 9) = 46 (cm).
Answer: The perimeter of the rectangle is 46 cm.

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