Exercise - Area of Squares and Rectangles

 

Exercise #3549: Area of Squares and Rectangles (Mathematics) (c) 2014 learnhive.com

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1.

Date: ________________ 

The area and width of a rectangle are 768 cm2 and 16 cm respectively. respectiv ely. Find the perimeter.  ____________________________  ______________________ ______ cm

2.

Area of the shaded region is ____________________________ sq m

Grade: 7

 

3.

Find the area of the shaded region. ____________________________ m 2

4.

The perimeter of a rectangular plot is 180 m and its breadth is 38 m. Find its length and area. length = 52 m, area = 2704 m 2 none of these length = 90 m, area = 3420 m 2 length = 52 m, area = 1976 m 2

5.

Length and breadth of a rectangular field are 460 m and 250 m. Find its area and perimeter. area = 1,51,000 m2, perimeter = 1420 m area = 1,15,000 m2, perimeter = 1420 m area = 11,500 m2, perimeter = 1420 m area = 1,15,000 m, perimeter = 710 m

6.

The cost of fencing a square field at Rs. 15 per meter is Rs.432. Find the length of each of the side and its area.

 

side = 7.2 m., area = 51.84 sq. m. side = 28.8 m., area = 51.84 sq. m. side = 7.2 sq. m., area = 51.84 m side = 7.2 m, area = 51.84 m

7.

The side of a square is 21 m and a rectangular field has its sides in the ratio 4:3. If the perimeter of the square and rectangle both are equal, find its length and breadth. length = 24 m, breadth = 81 m length = 42 m, breadth = 18 m length = 18 m, breadth = 24 m length = 24 m, breadth = 18 m

8.

A playground has length of 75 m and breadth of 20 m. Find the cost of levelling it at the rate of Rs. 3.50 per sq m, and the cost of fencing it at the rate of Rs. 5.25 per meter. cost of levelling= Rs. 5250, cost of fencing= Rs. 498.75 cost of levelling= Rs. 7895, cost of fencing= Rs. 997.50 cost of levelling= Rs. 5250, cost of fencing= Rs. 665 cost of levelling= Rs. 5250, cost of fencing= Rs. 997.50

9.

Jack owns a square land of size 300 m x 300 m. If he keeps 7 hectares and sells the remaining at the rate of Rs. 900 per  sq. meter, find the cost? Rs. 6,30,000 Rs. 1,80,00,000 Rs. 1,80,000 Rs. 63,000

 

10. A room of length 8.6 m and breadth 2.8 m is to be laid with square marbles of size 10 cm x 10 cm. Find how many no of  tiles can be laid and the cost at the rate of Rs. 5/ tile. no. of tiles = 12040, cost = Rs. 2408 no. of tiles = 2408, cost = Rs. 12040 no. of tiles = 240, cost = Rs. 1204 no. of tiles = 240800, cost = Rs. 1204000

11. If the side of a square is halved , then its area is equal to half of the original area. FALSE TRUE

12. The area of a ring lying between the circumference of two concentric circles is 205354.29 sq cm. whose radii are 242 cm and 352 cm. FALSE TRUE

13. When you double both length and breadth of a rectangle, 8 times you should multiply the area? FALSE TRUE

 

14. The total cost of cultivating a rectangular field at Rs. 1.50 per square meter is Rs. 1833. If the breadth is 26 m, the cost of  fencing the field at Rs. 7.50 per meter is Rs. 1095. TRUE FALSE

15. 15588 envelopes can be made out of a sheet of paper 324 cm by 172 cm, then each envelope requires a piece of paper of  size 18 cm by 12 cm? FALSE TRUE