Mensuration Ques 9
Question
The perimeter of a rectangular field is 240 metre. The ratio between the length and breadth of the field is $8: 7$. Find the area of the field.
(1) 3854 sq. m.
(2) 3584 sq. m.
(3) 3684 sq. m.
(4) 3666 sq. m.
(5) None of these
(IBPS RRBs Officer Scale-I CWE, 06.09.2014)
Show Answer
Correct Answer: (2)
Solution: (2)
Length $=8 x$ metre
Breadth $=7 x$ metre
$\therefore$ Perimeter $=2(8 x+7 x)=30 x$
$\therefore 30 x=240$
$\Rightarrow x=\frac{240}{30}=8$
$\therefore$ Area of rectangle $=8 x \times 7 x$ $=56 x^{2}$
$=56 \times 8 \times 8=3584$ sq. metre