How many times the length of a rectangle is greater than its width if the area of the rectangle
September 18, 2021 | education
| How many times the length of a rectangle is greater than its width if the area of the rectangle is 27 cm2 and its length is 9 cm.
Let us express the length of the rectangle from the formula for the area of the rectangle:
S = a * b, where S is the area of the rectangle, a is the width of the rectangle, b is the length of the rectangle.
In this case: a = S / b.
Substitute the values into the formula: b = 27 (cm2) / 9 (cm) = 3 (cm).
Let’s apply a proportional relationship.
The length of the rectangle is 9 (cm) or x, the width is 3 (cm) or 1, then:
9 (cm) – x,
3 (cm) – 1.
3 (cm) * x = 9 (cm) * 1.
x = 9 (cm) / 3 (cm) = 3 times.
Answer: The length of the rectangle is 3 times its width.
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