A rectangle of certain dimensions is chopped off from one corner of a larger rectangle as shown. A B=8 cm and B C=4 cm. The perimeter of ![]( the figure A B C P Q R A (in cm) is is

ABC26GN4320 · Area

Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:

A rectangle of certain dimensions is chopped off from one corner of a larger rectangle as shown. $A B=8 \mathrm{cm}$ and $B C=4 \mathrm{cm}$. The perimeter of ![]( the figure $A B C P Q R A$ (in cm) is is

(a)24

(b)28

(c)36

(d)48

Answer

Answer (as printed):

Explanation

Required perimeter $=(\mathrm{AB}+\mathrm{BC}+\mathrm{CP}+\mathrm{PQ}+\mathrm{QR}+\mathrm{RA})$ $=\mathrm{AB}+\mathrm{BC}+(\mathrm{CP}+\mathrm{QR})+(\mathrm{PQ}+\mathrm{RA})=\mathrm{AB}+\mathrm{BC}+\mathrm{AB}+$ $\mathrm{BC}=2(\mathrm{AB}+\mathrm{BC})$ $=[2(8+4)] \mathrm{cm}=24 \mathrm{cm}$.

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