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Perimeter and Area Test - 3

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Perimeter and Area Test - 3
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  • Question 1
    1 / -0

    Find the area of the triangle whose base is 14 dam and height is 650 cm.

    Solution

    Area = 1/2 x b x h ; 1/2 x 14 dam x 650 cm = 7dam x 650 cm
    ∴ 1 dam = 10m so 7 dam = 70 m
    ∴ 1 cm = 1/100 m so 650 cm 6.5 m
    Area = 70 m x 6.5 m =455 m2

     

  • Question 2
    1 / -0

    The floor of a room measures 12 m by 10 m. A carpet is placed on the floor from wall to wall. What is the area of the carpet?

    Solution

    Length of the floor =12 m Breadth =10 m ∴ Area =12×10=120 m2 ∴ Area of the carpet =120 m2

     

  • Question 3
    1 / -0

    In the given figure (not drawn to scale), B, D, F and Hare the midpoints AC, CE, EG and A respectively. Find the area of the shaded portion, if AGEC is a square of area 100 cm2

    Solution

    Area of square AGEC=100 cm2 Area of shaded portion =(1/4)×(Area of square AGEC) =(1/4)×(100)cm2=25cm2

     

  • Question 4
    1 / -0

    The diameter of a wheel of a cycle is70 cm. It moves slowly along a road. What distance will it cover in 24 complete revolutions?

    Solution

    Radius of a wheel =70/2=35cm In one revolution, the wheel covers a distance equal to its circumference                 

    ∴  2πr=2×22/7×35=220cm In 24 complete revolutions, distance covered =24×220=5280cm

     

  • Question 5
    1 / -0

    The length and the breadth of a rectangular piece of land are 400 m and 250 m respectively. What is the cost of the land at Rs. 1000 per square metre?

    Solution

    ∴ Area =400×250m2 =100000 m2

    Cost of the land per square metre =Rs.1000

    ∴  Cost of total land 100000×Rs.1000=Rs.10 crores

     

  • Question 6
    1 / -0

    The hour hand of a clock is 4.5 cm long. What distance does its tip cover in 12 hours?

    Solution

    The length of the hour hand =4.5 cm (=r). The distance it covers in 12 hours = The circumference of the circle with radius =4.5 cm =2×22/7×4.5cm=28.28cm

     

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