Question

The 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

Hello mate here is your answer,

=> breadth of rectangular field given = 3/4

=> length of rectangular field given = lets consider it as x

=> Area of the floor given = 768 sq m

Formula to be implemented:

Length x breadth as its a rectangle and its measures are mentioned in square m

So as we considered length as x and breadth 3/4th x of its length

=> length x breadth = area

=> x * 3/4x. = 3/4x^2 sq m

So according to question

.=> length x breadth = area of rectangle

=> 3/4x^2sq m = 768 sq m

=> x^2 = 768 x 4 / 3

=> x^2 = 256 x 4

=> x^2 = 1024

=> = √1024 ( because variable on

LHS is in square so we have to

to find square as we do in

finding hypotenus of triangle.)

=> So square root of √1024 is 32

=> length = 32 sq m

=> breadth = 3/4 x 32 = 3 x 8 = 24 sq m

So according to question difference between length and breadth

=> length - breadth = difference of no.s

=> 32 - 24 = 8 sqm ( is hall difference of length and breadth is 8sqm.)

Hope my answer helps you

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Answer 2

The difference between the length and breadth of the hall is 8 m

Step-by-step explanation:

Let the length of rectangular hall be x

We are given that The breadth of a rectangular hall is three-fourths of its length.

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

Area of hall =$Length \times Breadth = x \times \frac{3}{4} x=\frac{3}{4}x^2$

The area of the floor is 768 sq m

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

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

$x=\sqrt{\frac{768 \times 4}{3} }$

x=32

Length = 32 m

Breadth = $\frac{3}{4}(32)=24 m$

Difference between length and breadth = 32 - 24 = 8 m

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

#Learn more;

The area of rectangular hall is 144 sq m. if its breadth is four times its breadth,what is the length and breadth of the hall​

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