RRB Junior Engineer / DMS / CMA 2019 · Question 152 of 3719

The diagonal of the floor of a rectangular closet is 7.5 ft. The shorter side of the closet is 4.5 ft. What is the area of the closet in square feet?

Mathematics - Trigonometry

Aa. 37 ft²
Bb. 27 ft²Correct
Cc. 5.25 ft²
Dd. 13.5 ft²

Answer: B. b. 27 ft²

Explanation

Diagonal of the floor D = 7.5 ft. Breadth of floor b = 4.5 ft. Let the length of the floor be x ft. As we know, D2 = x2 + b2 7.52 = x2 + 4.52 x2 = 56.25-20.25 x2 = 36 x = √36 = 6 ft. Length of the rectangle x = 6 ft. Area of the rectangle = x x b = 6 x 4.5 = 27 square ft.

Source: RRB JE 2019 CBT-1 (24-May-2019 Shift-1) — ixambee compilation with answer key and solutions · reliable-secondary

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