The perimeter of a rectangular field is 480 metres and the ratio between the length and the breadth is 5 : 3… · ABC26GN4310
Subject: General Aptitude · Chapter: Area · Exam: M.A.T. 2008
The perimeter of a rectangular field is 480 metres and the ratio between the length and the breadth is 5 : 3. The area is
(a)1350 sq. m
(b)1550 sq. m
(c)13500 sq. m
(d)15500 sq. m
Answer
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Explanation
Let the length and breadth of the field be $(5 x)$ metres and $(3 x)$ metres respectively. Then, $2(5 x+3 x)=480 \Rightarrow 8 x=240 \Rightarrow x=30$. So, length $=150 \mathrm{m}$, breadth $=90 \mathrm{m}$. ∴ Area of the field $=(150 \times 90)$ sq. $\mathrm{m}=13500$ sq. m.