Question

He breadth of a rectangular hall is three-fourths 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-

Answer 1

Answer:

Step-by-step explanation:

Let length of rectangle be x

And its breath be 3÷4×x

A.T.Q

Area of rectangle =768

L×B=768

x×3÷4×x=768

x×3x÷4=768

3x^2=768×4

3x^2=3072

x^2=3072÷3

x^2=1024

x=32

Answer 2

Question:-

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

Required Answer:-

Given:-

• Breadth of the rectangular hall is three-fourth of the length.
• Area of the floor is 768sq.m.

To Find:-

• Difference between the length and the breadth of the hall.

Solution:-

• Let the length of the rectangular hall be x

Therefore,

• Breadth of the rectangular hall = 3/4 × x = 3x/4

We know that:-

• Area of a rectangle = (Length × breadth) sq.units

According to the question:-

=> x × 3x/4 = 768

=> 3x^2/4 = 768

=> 3x^2 = 768 × 4

=> 3x^2 = 3072

=> x^2 = 3072/3

=> x^2 = 1024

=> √[x^2] = √1024

=> x = 32

Hence, the length of the hall = 32m

Now,

Breadth of the hall = 3/4 × x = 3/4 × 32 = 24m

And breadth of the hall = 24m

Finally,

Difference between the length and the breadth of the hall = (32-24)m = 8m

Hence, the difference between the length and the breadth of the rectangular hall is 8m