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The diagonal of the floor of a rectangular closet is 7 feet. The shorter side of the closet is 4 feet. What is the area of the closet in square feet?

Question:
The diagonal of the floor of a rectangular closet is 7 feet. The shorter side of the closet is 4 feet. What is the area of the closet in square feet?

[A].

5 1
4

[B].

13 1
2

[C].

27

[D].

37

Answer: Option C

Explanation:

Other side =
15 2 9 2
2 2
ft
=
225 81
4 4
ft
=
144
4
ft
= 6 ft.

Area of closet = (6 x 4.5) sq. ft = 27 sq. ft.