Question

The length of a rectangular hall is 5 m more than its breadth. The area of the hall is 750 m${}^2$. The length of the hall is:

• A. 15 m
• B. 22.5 m
• C. 25 m
• D. 30 m
• E. 45 m

Answer 1

The correct option is D

30 m

Let breadth = `x' metres. Then, length = (x + 5) metres

Then, x (x + 5) = 750 $\iff$ x${}^2$ + 5x -- 750 = 0 $\iff$ (x + 30) (x -- 25) = 0

x = 25

$\therefore$ Length = (x + 5) = 30 m.