Question

the width of a rectangular hall is 3/4 of its length. if the area of the hall 300 square.metre . What is the difference between its length and breath ?? ​

Answer 1

length=20m.

breadth=15m.

Step-by-step explanation:

let length be x.

then , breadth will 3/4of x.

Area=l ×b

x ×3/4× x=300m2

=20m.

difference=20-15=5..... ans...

Answer 2

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The difference between the Length and Breadth of the Rectangle is 5 m.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Width of the Rectangle = $\tt{\dfrac{3}{4}}$ of its Length.

Area of the hall = 300 m².

To find :

The difference between the Length and Breadth.

Solution :

Consider the Length as x

Breadth = $\tt{\dfrac{3}{4}x}$

★ We know that :

Area of Rectangle = $\tt{Length \times Breadth}$

$\tt{\implies} \: \dfrac{3}{4}x \times x = 300$

$\tt{\implies} \: 3x \times x = 300 \times 4$

$\tt{\implies} \: {3x}^{2} = 1200$

$\tt{\implies} \: {x}^{2} = \dfrac{1200}{3}$

$\tt{\implies} \: {x}^{2} = 400$

$\tt{\implies} \: x = \sqrt{400}$

$\tt{\implies} \: x = 20$

Length = 20 m

Value of $\tt{\dfrac{3}{4}x}$

$\tt{\implies} \: \dfrac{3}{4} \times 20$

$\tt{\implies} \: \dfrac{60}{4}$

$\tt{\implies} \:15$

Breadth = 15 m

Difference between the Length and Breadth of the Hall :

Length = 20 m

Breadth = 15 m

$\tt{\implies} \:20 - 15 \\ \tt{\implies} \:5$

$\therefore$ The difference between the Length and Breadth of the Rectangle is 5 m.