Question

The area of the four walls of a room altogether is 77 m². The length and breadth of the room are 7.5 m and 3.5 m respectively. Find the height of the room.
Please explain step by step.

Answer 1

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The area of the four walls of a room altogether is 77 m². The length and breadth of the room are 7.5 m and 3.5 m respectively. Find the height of the room.

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$\bf Given \: that$

$\sf length \: of \: the \: room \: = 7.5m$

$\sf breadth \: of \: the \: room \: = 3.5m$

$\bf To \: find$

$\sf height \: of \: the \: room$

$\bf Then$

$\sf area \: of \: four \: walls \: of \: a \: room \:$

$\sf is \: its \: curved \: surface \: area$

$\bf Now$

$\sf curved \: surface \: of \: room \: = 77 {m}^{2}$

$\sf ⇒2h(l + b) = 77 {m}^{2}$

$\sf ⇒2h(7.5 + 3.5) = 77 {m}^{2}$

$\sf ⇒2h(11) = 77 {m}^{2}$

$\sf ⇒22h = 77 {m}^{2}$

$\sf ⇒h = \frac{77}{22}$

$\sf ⇒h = 3.5m$

$\therefore height \: of \: the \: room = 3.5m$

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