Page 190 - Math_Genius_V1.0_C6_Flipbook

E:\Working\Focus_Learning\Math_Genius-6\Open_Files\09_Chapter_6\Chapter_6
\ 07-Nov-2024 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________

So, the area of the given figure

= Area of square A + Area of rectangle B + Area of square C + Area of rectangle D
= (3 cm × 3 cm) + (2 cm × 1 cm) + (3 cm × 3 cm) + (4 cm × 2 cm)
= (9 + 2 + 9 + 8) sq. cm = 28 sq. cm

Practice Time 6C

1. Find the area of a rectangle whose length and breadth are 18 cm and 5 cm respectively.
2. Find the area of a square park whose one side is 60 m.

3. How many carpets measuring 3 m by 2 m are required to cover a hall of dimensions 30 m by 12 m?
4. The dimensions of the floor of a rectangular hall are 4 m × 3 m. The floor of the hall is to be tiled
fully with 80 cm × 60 cm rectangular tiles without breaking tiles into smaller sizes. Find the number
of tiles required.

5. A plot 110 metres long and 60 metres broad is to be covered with grass, leaving 5 metres all around.
Find the area to be laid with grass.

6. Four square flower beds, each with a side of 2 m are dug on a piece of land 7 m long and 5 m wide.
What is the area of the remaining part of the land?
7. A room is 12 m by 10 m. Find the cost of covering its floor with bricks measuring 20 cm by 6 cm if
the cost of one hundred bricks is `220.
8. Find the area in square metre of a piece of cloth 1 m 50 cm wide and 4 m long.

9. The area of a rectangle is 750 sq. m and its breadth is 25 m. Find the perimeter of the rectangle.
10. The dimensions of a room are 24 m × 14 m. If a border with square tiles of side 1 m is laid along all
its sides, then find the number of such tiles needed.
11. If the area of a square with a side of 20 cm is equal to the area of a rectangle with a length of 25 cm,
find the breadth of the rectangle.
12. What happens to the area of a square, if its side is doubled?
13. How many tiles whose length and breadth are 12 cm and 5 cm respectively will be needed to fit in
a rectangular region whose length and breadth are respectively:
(a) 200 cm and 144 cm (b) 80 cm and 48 cm
14. Find the perimeter and area of the following figures:

4 cm 3 cm
(a) (b)

3 cm
8 cm

8 cm

20 cm 20 cm 3 cm

8 cm 3 cm
3 cm
8 cm

3 cm 3 cm
4 cm

188
Mathematics-6 188
Mathematics-6