Question

the length of room is there times of its width and the area is 720.75 square meters. find length and width

Answer 1

Answer:

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

• 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 ) ?

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

$\boxed{\boxed{\textsf{Area \: of \: rectangle = length × breadth}}}$

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

Let the width be x

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

Find its length and width.

Then the length = 3x.

According to the question,

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

Putting the value in the above formula,we get:

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

$: \implies \sf{720.75 = 3x²}$

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

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

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

⇒ x = 15.5 m

♡Length = 3x = 3 × 15.5 = 46.5 m

♡Breadth = x = 15.5 m

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