Question

The perimeter of a rectangular plotis 48 m and area is 108 sq.m. The dimensions of the plot are

• A. 36m and 3m
• B. 12m and 9m
• C. 27m and 4m
• D. 18m and 6m

Answer 1

Answer:

D. 18m and 6m

If the length and breadth of the plot be x and y respectively, then

2(x + y) = 48

x + y = 24 .....(i)

xy = 108 .....(ii)

=>(x-y)^2=(x+y)^2-4xy

$(x-y)^2=(24)^2-4\times{108}$

=>576-432=144

$(x-y)^2=144$

$x- y = 12$ .....(iii)

From equations (i) and (iii),

x = 18 metre and y = 6 metre