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6. A carpenter wants to fix a steel frame on the four sides of the top of a table. If the length and breadth
of the table are 3 m and 1 m, respectively, find the length of the steel frame required.
7. Which costs more: fencing a rectangular field of length and breadth 38 m and 20 m respectively, or
fencing a square field of side 30 m, if the cost of fencing is `25 per metre? By how much?
8. Find the cost of fencing a rectangular park with a length of 155 m and a breadth of 145 m at the rate
of `12 per metre.
9. A piece of string is 42 cm long. What would be the length of each side if the string is used to form
(a) an equilateral triangle? (b) a regular heptagon?
10. The perimeter of a regular heptagon and that of a rectangle are equal. If the side of the heptagon is
8 m and the length of the rectangle is 15 m, find the breadth of the rectangle.
11. Shubhi wants to fence his land with 6 rows of wire. The length and the breadth of his land are
18 m and 9 m, respectively. Find the length of the wire required.
activity
Split and Rejoin
• Take a rectangular piece of paper of dimensions 9 cm × 6 cm and cut of as shown into two
equal pieces. 6 cm
• Join the two pieces in different ways and ask your classmate to find their perimeters.
1. Assume that your bench partner asks you to compute the perimeter in the following 9 cm
positions.
9 cm 9 cm
6 cm
(a) 3 cm (b)
3 cm
3 cm 3 cm
(c) (d) (e)
2 cm
What would be your answer?
2. Can you arrange the two pieces to form a figure with a perimeter of 40 cm?
Understanding Area
Seema is working on her new craft, in which she wants to cover a rectangular sheet of paper of
size 12 cm by 9 cm with stickers of size 1 cm by 1 cm. How many stickers does she need to cover
the entire sheet?
As we can see, she has pasted 12
stickers in 1 row and she needs to
paste stickers in 9 such rows.
So, the number of stickers needed =
12 × 9 = 108
We can say the size of the rectangular
sheet is the same as the size of 108
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