The difference between length and breadth of a rectangle is 15 m. If the perimeter of rectangle is 162 m, then the area of the rectangle (in m2) is.
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 1584
The perimeter gives the sum of length and breadth; with their difference, both can be found.
Perimeter \(2(l+b)=162\), so \(l+b=81\) (1)
\(l-b=15\) (2)
Adding (1) and (2), \(b\) cancels: \(2l=96\), so \(l=48\) m
From (1): \(b=33\) m
Area \(=48\times33=1584\,\mathrm{m^2}\)