A rectangle’s width is one-fourth of its length. Its area is 9 square units. The equation l(l) = 9 can be used to find l, the le ngth of the rectangle.
1 answer:
Answer:
6 units
Step-by-step explanation:
The formula for the area of a rectangle = Length × Width
A rectangle’s width is one-fourth of its length.
W = 1/4 × L
W = L/4
Cross Multiply
L = 4W
A = 9 square units
Hence
9 = L × W
We substitute 4W for L
9 = 4W × W
9 = 4W²
We square root both side
√9 = √4W²
3 = 2W
W = 3/2
W = 1 1/2 unit or 1.5 units
Solving for L = Length
9 = L × W
9 = L × 1.5
L = 9/1.5
L = 6 units
Therefore, the Length of the rectangle = 6 units
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