Logo
    Logo

    Subject

    Quantitative Aptitude

    Topic

    Areas & Volumes

    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.

    ক)
    b=6; l=18; H=6
    খ)
    b=5; l=6; H=18
    গ)
    l=6; b=18; H=15
    ঘ)
    l=5; b=18; H=18

    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=6x\times\frac{3x}2=54\Rightarrow x^2=54\times2\Rightarrow x=6 So, breadth = 6 m and length = 3(6)2\frac{3\left(6\right)}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=62\times\left(9+6\right)H=180\Rightarrow H=6

    Related questions

    The ratio between the length and the breadth of a rectangular park is 3 : If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:How many bricks, each measuring 25 cm x 25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 5 cm?A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered.If the area of the field is 680 sq.ft, how many feet of fencing will be required?A cistern of capacity 8000 litres measures externally 3 m by 6 m by 1 m and its walls are 5 cm thick. The thickness of the bottom is:The curved surface area of a cylindrical pillar is 264 m2and its volume is 924 m3. Find the ratio of its diameter to its height.A man walking at the speed of 4 kmph crosses a square field diagonally in 3 meters.The area of the field isA metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:

    Find Tutors

    View all Tutors