The diagonal of the floor of a rectangular closet is 712 feet. The shorter side of the closet is 412 feet. What is the area of the closet in square feet?
A) 9
B) 18
C) 27
D) 36
Answers
Answered by
2
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Answered by
3
Answer:
27
Step-by-step explanation:
The diagonal of the floor of a rectangular closet is 7 1/2 feet. The shorter side of the closet is 4 1/2 feet. What is the area of the closet in square feet?
Diagonal = 7 1/2 feet = 15/2 feet
one side = 4 1/2 feer = 9/2 feet
Other side = x
applying Pythagoras theorem
(15/2)² = (9/2)² + x²
=> 225/4 = 81/4 + x²
=> 225 - 81 = 4x²
=> 4x² = 144
=> x² = 36
=> x = 6
Area of closet = 6 * 9/2 = 27 sq feet
option C is correct answer
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