Question

The area of a rectangular field is 150 sq. units. If its perimeter is 50 units, then its dimensions are

• A. 27, 5
• B. 3, 50
• C. 5,`30
• D. 10, 15

Answer 1

Answer: (D)

10, 15

Let the length of the rectangle be $l$ and breath be $b$
Given, $lb=150$.........(i)
Also give, $2(l+b)=50$
$l+b=25$
$l=25-b$ ....(ii)
Substituting this value of $l$ in eqn. (i), we get
$(25-b)\left(b\right)=150$
$b^2-25b+150=0$
$\therefore b=15$ cm, $10$ cm
$\therefore$ when $b=15$cm, $l=10$cm and when $b=10$cm, then $l=15$cm.
$\therefore$ dimensions of the rectangle are $10,15$