Math, asked by arnavsingh2, 1 year ago

the area of the four walls in a room is 120 m2 the length of twice the breadth .if the height of the room is 4 m find the area of the floor

Answers

Answered by sarasidana
11
Hope this may help you
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Answered by riya15955
1

Given:-

  • Area of four walls of a room is 120m².
  • The length is twice the breadth.
  • Height of the room is 4m.

To find:-

  • Breadth of the room.

Solution:-

Let the breadth of the room be b.

Then,

Length of the room will be 2b.

Note:- Area of four walls means the lateral surface area of the room.

★ Therefore, we will use the formula of lateral surface area of cuboid.

\boxed{\tt{\bigstar{LSA_{(Cuboid)} = 2(l + b) \times h{\bigstar}}}}

★LSA

(Cuboid)

=2(l+b)×h★

Here

  • l = length
  • b = breadth
  • h = height

\tt:\implies\: \: \: \: \: \: \: \: {LSA = 120}:

\tt:\implies\: \: \: \: \: \: \: \: {2(l + b) \times h = 120}:

\tt:\implies\: \: \: \: \: \: \: \: {2(2b + b) \times 4 = 120}

\tt:\implies\: \: \: \: \: \: \: \: {2(3b) = \dfrac{120}{4}}

\tt:\implies\: \: \: \: \: \: \: \: {6b = 30}:⟹6b=30

\tt:\implies\: \: \: \: \: \: \: \: {b = \dfrac{30}{6}}

\bf:\implies\: \: \: \: \: \: \: \: {b = 5}:⟹b=5

Hence,

The breadth of the wall is 5m.

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