Question

The length of a room is three times of its width and the area is 720.75 square meters. Find its length and width.

Answer 1

$\underline{ \underline{ \bold{Given}}}$

• The length of a room is three times of its width or breadth .

• The area is 720.75 square meters.

$\underline{ \underline{ \bold{To \: find \: out }}}$

Find the length ( l ) and width or breadth ( b ) ?

$\underline{ \underline{ \bold{Formula \: used }}}$

$\boxed {\sf{Area \: of \: rectangle = length \times breadth}}$

$\underline{ \underline{ \bold{Solution}}}$

Let the width be x

Then the length = 3x.

According to the question,

$\sf{ Area \: of \: rectangle = l \times b}$

Putting the value in the above formula,we get:

$: \implies \sf{720.75 = 3x \times x}$

$: \implies \sf{ 720.75 = 3 {x}^{2} }$

$: \implies \sf { {x}^{2} = \dfrac{720.75}{3} }$

$: \implies \sf{ {x}^{2} = 240.25}$

$: \implies \sf{x = \sqrt{240.25} }$

⇒ x = 15.5 m

Length = 3x = 3 × 15.5 = 46.5 m

Breadth = x = 15.5 m

Answer 2

$\bf\large{\underline{Question:-}}$

The length of a room is three times of its width and the area is 720.75 square meters. Find its length and width.

$\bf\large{\underline{Given:-}}$

• length of a room is three times of its width
• area is 720.75 sq.m

$\bf\large{\underline{To\:find:-}}$

• Length= ?
• Width=?

$\bf\large{\underline{According\:to\: Question:-}}$

Let,

Length = x so,

width will be = 3x

Now,

$\bf\large{\underline{Solution:-}}$

we know,

Area of rectangle = length×width

$\tt→ 720.75= x×3x\\\tt→ 720.75= 3x^2\\\tt→ x^2=\frac{720.75}{3}\\\tt→ x^2= 240.25\\\tt→ x={\sqrt240.25}\\\tt→x= 15.5$

Hence,

above we consider length = x and width = 3x

putting x=15.5

★ Length = x = x×15.5= 15.5sq.m

★ Width = 3x = 3×15.5 = 46.5sq.m