Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
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?
(a)$5 \frac{1}{4}$
(b)$13 \frac{1}{2}$
(c)27
(d)37
Answer
Answer (as printed):
Explanation
Other side $=\sqrt{\left(\frac{15}{2}\right)^{2}-\left(\frac{9}{2}\right)^{2}} \mathrm{ft}=\sqrt{\frac{225}{4}-\frac{81}{4}} \mathrm{ft}=\sqrt{\frac{144}{4}} \mathrm{ft}=6 \mathrm{ft}$. ∴ Area of the closet = (6 × 4.5) sq. ft = 27 sq. ft.
Explanation as extracted from the printed page; notation may be imperfect.