Area and Perimeter


  1. Find the cost of carpeting a room 8 m long and 6 m broad with a carpet 75 cm wide at ₹ 20 per m.











  1. View Hint View Answer Discuss in Forum

    Area of the carpet = Area of the room

    Correct Option: D

    Area of the carpet = Area of the room
    = 8 x 6 = 48 sq m

    Width of the carpet = 75/100 = 3/4 m

    Length of the carpet = 48 x (4/3)
    = 16 x 4 = 64 m

    ∴ Cost of carpeting = 64 x 20 = ₹ 1280


  1. A rectangle has 20 cm as its length and 200 sq cm as its area. If the area is increased by 11/5 time the original area by increase its length only then the perimeter of the rectangle so formed (in cm) is









  1. View Hint View Answer Discuss in Forum

    l1 = 20 cm, A1 = 200 sq cm
    ∴ b1 = 200/20 = 10 cm
    Now, A2 = 200 x 6/5 = 240 sq cm
    b2 = 10 cm
    ∴ l2 = 240/10 = 24 cm

    ∴ Perimeter of new rectangle = 2(l2 + b2)

    Correct Option: D

    l1 = 20 cm, A1 = 200 sq cm
    ∴ b1 = 200/20 = 10 cm
    Now, A2 = 200 x 6/5 = 240 sq cm
    b2 = 10 cm
    ∴ l2 = 240/10 = 24 cm

    ∴ Perimeter of new rectangle = 2(l2 + b2)
    = 2(24 + 10) = 2 x 34 = 68 cm



  1. The breadth of a rectangle is 25 m. The total cost of putting a grass bed on this field was ₹ 12375, at the rate of ₹ 15 per sq m. What is the length of the rectangular field?











  1. View Hint View Answer Discuss in Forum

    Area to the rectangular field = 12375/15 = 825 sq m
    According to the question,
    (L x B) = 825 [L = length and B = breadth]

    Correct Option: C

    Area to the rectangular field = 12375/15 = 825 sq m
    According to the question,
    (L x B) = 825 [L = length and B = breadth]
    ⇒ L x 25 = 825
    ∴ L = 825/25 = 33 m


  1. What is the area of a square having perimeter 68 cm?











  1. View Hint View Answer Discuss in Forum

    According to the question,
    4a = 68 [ where a = side]
    ∴a = 68/4 = 17 cm
    ∴ Required area = a2

    Correct Option: C

    According to the question,
    4a = 68 [ where a = side]
    ∴a = 68/4 = 17 cm

    ∴ Required area = a2
    = (17)2 = 289 sq cm



  1. The perimeter of two squares are 68 cm. Find the perimeter of the third square whose area is equal to the different of the areas of these two squares.









  1. View Hint View Answer Discuss in Forum

    a1 = 68/4 = 17 cm
    and a2 = 60/4 = 15 cm
    [ where a1 and a2 are sides]

    According to the question,
    Area of the third square = [(17)2 - (15)2 ]

    Correct Option: C

    a1 = 68/4 = 17 cm
    and a2 = 60/4 = 15 cm
    [ where a1 and a2 are sides]

    According to the question,
    Area of the third square = [(17)2 - (15)2 ]
    = (17 + 15) (17 - 15)
    = 32 x 2
    = 64 sq cm

    Let a3 = Side of the third square.

    According to the question, (a3)2 = 64 sq cm
    ∴ a3 = √64 = 8 cm

    ∴ Perimeter of the third square = 4 x a3 = 4 x 8 = 32 cm.