Question
The diagonal of the floor of a rectangular closet is 7\(\frac{1}{2}\) feet. The shorter side of the closet is 4 \(\frac{1}{2}\) feet. What is the area of the closet in square feet?
Answer: Option C
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Other side = \(\sqrt{\left(\frac{15}{2}\right)^{2}-\left(\frac{9}{2} \right)^{2}ft}\)
= \(\sqrt{\frac{225}{4}-\frac{81}{4}ft}\)
= \(\sqrt{\frac{144}{4} ft}\)
6.ft.
So, Area of closet = (6 x 4.5) sq. ft = 27 sq. ft.
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