Question

Length of a rectangle is $8$ m less than twice its breadth. If the perimeter of the rectangle is $56$ m. Find its length and breadth.

• A. Length $=1$6m and breadth $=12$m
• B. Length $=13$m and breadth $=15$m
• C. Length $=14$m and breadth $=17$m
• D. Length $=18$m and breadth $=21$m

Answer 1

The correct option is A Length $=1$6m and breadth $=12$m

Let the breadth of the rectangle be $x$ m. Then,
length of the rectangle $=(2x-8)$ m
Given, perimeter $=56$ m
$⟹2(2x-8+x)=56⟹2(3x-8)=56⟹6x-16=56⟹6x=56+16[Transposing-16toRHS]⟹6x=72⟹x=12$
$\text{Therefore, breadth of the rectangle}$ $=12$ $\text{m and length of the rectangle}$ $=2\times 12-8=16$ $m$