Math, asked by pranjaldubey21, 1 year ago

The area of four walls of a room is 144m2
of the length of the room is thrice its breadth
and the height is 3m. Find the area of the floor​

Answers

Answered by saketakelaa37
1
Here’s the solution and answer
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Answered by Anonymous
3

 \mathtt{ \huge{ \fbox{ \: Solution :  \: }}}

Let ,

The breadth of the room be x

So , the length of the room = 3x

Given ,

The height of the room = 3 m

The area of the 4 walls = 144 m²

This implies ,

The LSA of the room = 144 m²

We know that , the LSA of cuboid is given by

 \star \:  \:  \sf \large \fbox{LSA  \: of \:  cuboid = 2 \times (l + b) \times h}

Where ,

l = length of cuboid

b = breadth of cuboid

h = height of cuboid

Substitute the known values , we get

 \sf  \hookrightarrow 2 \times (3x + x) \times 3 = 144 \\  \\ \sf  \hookrightarrow 2 \times 4x \times 3 = 144 \\  \\\sf  \hookrightarrow 24x = 144 \\  \\\sf  \hookrightarrow  x = 6

Hence , the length and breadth of cuboid are 18 m and 6 m respectively

&

The area of floor = length × Breadth i.e 108 m²

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