Question

The breadth of a rectangular hall is three-fourth of its length. If the area of the floor is 768 sq. m., then the difference between the length and breadth of the hall is:

• A. 8 m
• B. 12 m
• C. 24 m
• D. 32 m

Answer 1

Answer:

A. 8 m

Let the length of rectangular hall= x metre

Breadth $=(\frac{3}{4}\times{x}) metre$

Area of rectangular = Length × Breadth

$=x\times{\frac{3}{4}\times{x}}$

$=\frac{3}{4}x^2 m^2$

According to question, $\frac{3}{4}x^2=768$

$x^2=\frac{768\times{4}}{3}$

$x=\sqrt{256\times{4}}$

$x=16\times{2}=32m$

Length = 32 m and

Breadth = 24m

Required difference = 32 – 24 = 8 m