WORKSHEET ON AREA AND PERIMETER OF SQUARE

1)  Find the perimeter of a square whose area is 120 m2.

2)  Find the area of the square field whose perimeter is 240 m.

3)  A rope of length of 104 m is used to fence a square garden. What is the length of the side of the garden ?

4)  Lila has 16 square stamps of side 4cm each. She glues them onto an envelope to form a bigger square. What area of the envelope does the bigger square cover?

5)  If the diagonal length of a square is 7 cm, find the square area, perimeter ?

6)  The diagonals of two squares are in the ratio 2 : 5. Find the ratio of their areas.

Solution

7)  The area of a square and rectangle are equal. If the side of the square is 15 cm and the breadth of the rectangle 10 cm, find the length of the rectangle and its perimeter.

8)  A wire is in the shape of a rectangle whose width is 12 cm is bent to form a square of side 17 cm. Find the rectangle length and also find which shape encloses more area.

9)  The area of a square field is 49 hectares. Find the cost of fencing field with a wire at the rate of $5 per m.

10)  How many square tiles of side 6cm will be needed to fit in a square floor of a bathroom of side 600 cm. Find the cost of tiling at the rate of $65 per tile.

11)  Pizza factory has come out with two kinds of pizza. A square pizza of side 45 cm costs ₹ 150 and a circular pizza of diameter 50 cm costs  ₹ 160. Which pizza is a better deal?

12)  Three squares are attached to each other as shown. Each square is attached at the midpoint of the side of the square to its right. Find the perimeter of the complete figure.

Solution

Answers :

1)  43.82 m

2)   3600 m2

3)  26 m

4)  256 cm2

5)  19.8 cm

6)  4 : 25

7)  65 m

8)  Area of a square > Area of a rectangle

9)  $14000

10) $650000

11)  circular pizza is a better deal

12)  33 m

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