The perimeter of a rectangle is (80) cm and its length is (10) cm more than its breadth. What is the area of the rectangle?

Correct answer: 375 square cm

Let the length be
(l
) cm and the breadth be
(b
) cm. Since the perimeter is
80
cm,
2(l+b)=80
, so
l+b=40
. Also,
l-b=10
. Adding the two equations gives
2l=50
, hence
l=25
and
b=15
. Therefore, the area is
l imes b=25 imes15=375
square cm. Thus, option D is correct. 350 square cm would result from not using the correct length and breadth values in the product. Exam tip: first obtain
l+b
from the perimeter, then pair it with the given difference to form two linear equations.