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  • Question
  • Area of a square and a rectangle are equal. If side of the square is 40 cm and length of the rectangle is 64 cm, what is the perimeter of the rectangle ?


  • Options
  • A. 187 cm
  • B. 178 cm
  • C. 149 cm
  • D. 194 cm

  • Correct Answer
  • 178 cm 

    Explanation

    Area of square = 40 x 40

    = 1600 sq.cm

    Given that the areas of Square and Rectangle are equal

    => Area of rectangle = 1600 Sq.cm

    We know that, Area of rectangle = L x B

    Given L = 64 cm

    Breadth of rectangle = 1600/64 = 25 cm

    Perimeter of the rectangle = 2(L + B) = 2(64+25) = 178 cm.

  • Tags: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO

    Area problems


    Search Results


    • 1. The ratio between the length and breadth of a rectangular field is 5 : 4 if the breadth is 20m less than the length, the perimeter of the field is :

    • Options
    • A. 260m
    • B. 280m
    • C. 360m
    • D. none of these
    • Discuss
    • 2. The dimensions of a room are 10m x 7m x 5m. There are 2 doors and 3 windows in the room. The dimensions of the doors are 1m x 3m. One window is of size 2m x 1.5m and the other 2 windows are of size 1m x 1.5m. The cost of painting the walls at Rs. 3 per sq m is

    • Options
    • A. Rs.174
    • B. Rs.274
    • C. Rs.374
    • D. Rs.474
    • Discuss
    • 3. Three circles of radius 3.5cm are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is

    • Options
    • A. 1.967
    • B. 1.867
    • C. 1.767
    • D. 1.567
    • Discuss
    • 4. The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?

    • Options
    • A. 16
    • B. 18
    • C. 20
    • D. 22
    • Discuss
    • 5. An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:

    • Options
    • A. 1.04
    • B. 2.04
    • C. 3.04
    • D. 4.04
    • Discuss
    • 6. The base of a parallelogram is twice its height. If the area of the parallelogram is 72 sq. cm, find its height

    • Options
    • A. 6
    • B. 7
    • C. 8
    • D. 9
    • Discuss
    • 7. The area of a square is equal to the area of a rectangle. The length of the rectangle is 5 cm more than a side of the square and its breadth is 3 cm less than the side of the square. What is the perimeter of the rectangle ?

    • Options
    • A. 15 cm
    • B. 18 cm
    • C. 34 cm
    • D. 26 cm
    • Discuss
    • 8. The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? Question : What is the height of a right-angled triangle ? Statements : A. The area of the triangle is 20 times its base. B. The perimeter of the triangle is equal to that of a square of the side 10 cm.

    • Options
    • A. Only statement A is required
    • B. Only statement B is required
    • C. Both A & B are required
    • D. Neither (A) nor (B) is reuired
    • Discuss
    • 9. 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.

    • Options
    • A. b=6; l=18; H=6
    • B. b=5; l=6; H=18
    • C. l=6; b=18; H=15
    • D. l=5; b=18; H=18
    • Discuss
    • 10. A man runs round a circular field of radius 50m at the speed of 12 km/hr. What is the time taken by the man to take twenty rounds of the field?

    • Options
    • A. 220/7 min
    • B. 110/7 min
    • C. 90/7 min
    • D. 230/7 min
    • Discuss


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