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