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A rectangular room is 9m long, 3m high and 3.5m wide. The cost of painting the room is $14 per square metre. What is the cost of giving the entire room a coat of paint if I get a 10% discount? (Paint does not include ceiling and floor)A$1050B$1323C$945D$525ENone of the above

Question

A rectangular room is 9m long, 3m high and 3.5m wide. The cost of painting the room is 14persquaremetre.WhatisthecostofgivingtheentireroomacoatofpaintifIgeta1014 per square metre. What is the cost of giving the entire room a coat of paint if I get a 10% discount? (Paint does not include ceiling and floor)A1050B1323C1323C945D$525ENone of the above

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Solution

First, we need to calculate the total surface area of the room. Since we are not painting the floor or ceiling, we only need to consider the four walls.

The surface area of a wall is calculated by multiplying its length by its height.

The room has two walls that are 9m long and 3m high, and two walls that are 3.5m long and 3m high.

So, the total surface area of the four walls is:

2*(9m3m) + 2(3.5m*3m) = 54m^2 + 21m^2 = 75m^2

Next, we need to calculate the cost of painting the room. The cost of painting is $14 per square meter, so the total cost without discount is:

75m^2 * 14/m2=14/m^2 = 1050

Finally, we need to apply the 10% discount. The discount amount is:

1050101050 * 10% = 105

So, the final cost of painting the room is:

10501050 - 105 = $945

Therefore, the correct answer is C$945.

This problem has been solved

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