Question

Lenght of a room is 3times its breadth and height is 4.6m. If the total cost of carpenting the floor of a room at rate of rs.60per square meter is rs4500.find the total cost of papering the walls at the rate of rs6.

Answer 1

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Let breadth = x

And length = 3x

ATQ,

The total cost of carpenting the floor of a room at rate of rs.60per square meter is Rs4500

So we can write it as,

= x + 3x = $\displaystyle\frac {4500}{60}$

= 4x = 75

= x = $\displaystyle\frac {75}{4}$

= x = 18.75m

Breadth = 18.75

Length = 3 × 18.75 = 56.25

${\bigstar{\underline{\bf {\pink{ Total\: cost \:of \:papering \:the \:walls}}}}}$

Surface area of the room

= 2 (lb+bh+hl)

= 2 (56.25×18.75 + 18.75×4.6 + 4.6×56.25)

= 2 ( 1054.6875 + 86.25 + 258.75)

= 2 × 1399.6875

= 2799.375m

Area of the walls

= Area of the room - Area of floor

= 2799.375 - 1054.6875

= 1799.6875m

Cost of preparing wall

= 1799.6875 × 6

= Rs.10468.125

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Answer 2

Step-by-step explanation:

breadth = x

And length = 3x

ATQ,

The total cost of carpenting the floor of a room at rate of rs.60per square meter is Rs4500

So we can write it as,

= x + 3x =

60

4500

= 4x = 75

= x = \displaystyle\frac {75}{4}

4

75

Totalcostofpaperingthewalls

Surface area of the room

= 2 (lb+bh+hl)

= 2 (56.25×18.75 + 18.75×4.6 + 4.6×56.25)

= 2 ( 1054.6875 + 86.25 + 258.75)

= 2 × 1399.6875

= 2799.375m

Area of the walls

= Area of the room - Area of floor

= 2799.375 - 1054.6875

= 1799.6875m

Cost of preparing wall

= 1799.6875 × 6

= Rs.10468.125