How many squares with side 1/2 inch long are needed to cover a rectangle that is 4 feet long and 6 feet wide? · ABC26GN4384

Subject: General Aptitude · Chapter: Area · Exam: Campus Recruitment 2010

How many squares with side $\frac{1}{2}$ inch long are needed to cover a rectangle that is 4 feet long and 6 feet wide?
(a)24
(b)96
(c)3456
(d)13824
(e)14266
Answer
Answer (as printed): D
Explanation
Length of rectangle = 4 ft = (4 × 12) inch = 48 inch. Width of rectangle $=6 \mathrm{ft}=(6 \times 12)$ inch = 72 inch. $$\text { ∴ Number of squares }=\frac{48 \times 72}{\frac{1}{2} \times \frac{1}{2}}=13824 .$$

Explanation as extracted from the printed page; notation may be imperfect.

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