S.chand class 6 Mathematics Chapter 24 Exercise 24C

 

EXERCISE 24 C

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1.Find the area of the following graphical figures

(i) fig

(ii)

(iii)

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2. Find the area of a rectangle whose

(i) Length = 18 cm and breadth = 13 cm

(ii) Length = 12 cm and breadth = 7.5 cm

(iii) Length $=3\dfrac{1}{4}~m$ and breadth $=1\dfrac{1}{2}~m$

(iv) Length = 5 m 60 cm and breadth = 3 m 40 cm

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3. What is the area of a square photo frame of side

(i) 8 cm

(ii) 10 cm

(iii) 15 cm

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4. What happens to the area of a rectangle when

(i) its length is doubled, the breadth remaining the same ?

(ii) its breadth is doubled, the length remaining the same ?

(iii) its length and breadth are both doubled ?

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5. What happens to the area of a square when

(i) its side is doubled ?

(ii) its side is tripled ?

(iii) its side is halved ?

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6. Find the perimeter of the square whose area is 2500 m² ?

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7. Find the area , in hectare , of a field whose length is 240 m and breadth is 110 m .

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8. The area of a square of side 16 cm is the same as that of a rectangle of length 64 cm . What is the breadth of the rectangle ?

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9. The area of  a rectangular park is 456 m² and its length is 24 m . Find the breadth of the park and the cost of fencing it at the rate of 8.50 rupees per metre . 

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10. A playground measures 300 m by 170 m . Find the cost of playing grass on this at the rate of 80 rupees per hectare .

11. The given figure shows a shaded region enclosed by two squares. If the sides of the squares are $24 \mathrm{~cm}$ and $18 \mathrm{~cm}$ respectively, find the area of the shaded region.

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12. A wooden door, $2 \mathrm{~m} 8 \mathrm{~cm}$ high and $1.2 \mathrm{~m}$ wide has 4 glass panes fitted on it. Each pane is $40 \mathrm{~cm}$ by $20 \mathrm{~cm}$. What is the area of the wood?

13. How many envelopes can be made out of a sheet of paper $125 \mathrm{~cm}$ by $85 \mathrm{~cm}$ supposing each envelope requires a piece of paper of size $17 \mathrm{~cm}$ by $5 \mathrm{~cm}$ ?

14. In the adjoining figure, a rectangular park is $93 \mathrm{~m}$ long and $80 \mathrm{~m}$ wide. Inside the park there is a path $2.5 \mathrm{~m}$ wide all around. Find the area of the remaining park. Also, find the area of the path.

[Hint: To get the dimensions of inner rectangle use : $93 \mathrm{~m}-2 \times 2.5 \mathrm{~m}$ and $80 \mathrm{~m}-2 \times 2.5 \mathrm{~m}]$

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