Question

The area of 4 walls of square room is 120 m2. If the height is 5 m, then what is the area of
its floor?
a) 26 m2
b) 56 m2
c) 25 m2
d) 36 m2

Answer 1

Answer:

CORRECTED QUESTION:-

The area of four walls of a room is 120 m^2. If the length of the room is twice its breadth and the height is 5 m, then what is the area of its floor?

$given = The \: area \: of \: four \: walls \\ of \: a \: room\: is \\ 120 {m}^{2} . If \: the \: length \: of \: the \: room \\ is \: twice \: its \: breadth \: and \\ the \: height \: is \: 5 m.$

$to \: find \: area \: of \: floor$

$height = 5m$

$let \: the \: breadth \: be \: b$

$length \: of \: the \: room \: is \\ twice \: its \: breadth$

$so \: \\ length = 2b$

$area \: of \: four \: walls \: of \: room = 2(length + breadth) \times h$

$on \: substituting \: the \: values \: we \: get$

$= 2(2b + b) \times \: 4 = 120m {}^{2}$

$= 8 \times 3b = 120 {m}^{2}$

$3b = \frac{120}{8}$

$3b = 15 {m}^{2}$

$b = \frac{ 15 {m}^{2} }{ 3}$

$b = 5m$

$breadth = 5m$

$length = 2b \\ = 2 \times 5 \\ = 10m$

$area \: of \: the \: wall = length \times breadth$

on substituting the values we get,

$10m \times 5m \\ = 50 {m}^{2}$

therefore area of the wall is 50m^2

Step-by-step explanation:

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