Arithmetic Ability
Area

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Q.

A room is half as long again as it is broad. The cost of carpeting the at Rs. 5 per sq.m is Rs. 270 and the cost of papering the four walls at Rs. 10 per sq.m is Rs. 1720. If a door and 2 windows occupy 8 sq. m, find the dimensions of the room.

View Answer

Correct choice: A

Explanation:

Let breadth = x metres, length = 3x metres, height = H metres. Area of the floor=(Total cost of carpeting)/(Rate) = (270/5) sq.m = 54 sq.m x×3x2=54⇒x2=54×2⇒x=6 So, breadth = 6 m and length =3(6)2 = 9 m. Now, papered area = (1720/10) = 172 sq.m Area of 1 door and 2 windows = 8 sq.m Total area of 4 walls = (172 + 8) sq.m = 180 sq.m 2×(9+6)H=180⇒H=6
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