Mensuration Ques 7
Question
The area of a square is equal to that of a rectangle. The length of rectangle is $4 cm$ more than the side of square and the breadth is $3 cm$ less than that of the square. What is the perimeter of the rectangle?
(1) $40 cm$
(2) $60 cm$
(3) $75 cm$
(4) $50 cm$
(5) None of these
(IDBI Officer Grade Exam. 22.08.2014)
Show Answer
Correct Answer: (4)
Solution: (4)
Side of square $=x $ cm
Length of rectangle $=(x+4) cm$
Breadth of rectangle $=(x-3) cm$
$\therefore(x+4)(x-3)=x^{2}$
$\Rightarrow x^{2}+4 x-3 x-12=x^{2}$
$\Rightarrow x-12=0 $
$\Rightarrow x=12$
$\therefore$ Perimeter of rectangle $=2$ (length + breadth)
$=2(x+4+x-3)$
$=2(2 x+1)=4 x+2$
$=4 \times 12+2=50 cm$
BETA
