Page 281 - Start Up Mathematics_8 (Non CCE)

2
2. The base and height of a triangle are in the ratio 3 : 4 and its area is 150 m . Find the base and height.
3. A room 8 m × 6 m is to be carpeted by a carpet 2 m wide. Find the length of the carpet required.
2
4. If only the length of a rectangular plot is reduced to rd of its original length, find the ratio of the original
area to the reduced area. 3
5. There is a square of side 22 cm. Find the radius of the circle whose perimeter equals the perimeter of the
square.
2
6. A square room is surrounded by a verandah of width 2 m. The area of the verandah is 64 m . Find the
area of the room.
7. A rhombus of area 24 sq. cm has one of its diagonals of 6 cm. Find the other diagonal and the side of the
rhombus.
8. In a trapezium, parallel sides are 60 cm and 90 cm respectively and non-parallel sides are
40 cm and 50 cm respectively. Find its area.
2
9. A path all around the inside of a rectangular park 37 m by 30 m occupies an area of 570 m . Find the
width of the path.
10. The area of a rectangular plot is 14 times its breadth. If the difference between the length and breadth is
9 m, what is its breadth? D C
11. In the given figure, find the area of each section if the width of S R
each section is same.
22 cm
16 cm
20 cm
P Q
A 26 cm B
12. Find the area of the hexagon TAGORE, if TO = 9 cm, G
TS = 7 cm, TH = 6 cm, TF = 4 cm, TB = 2 cm, AB = 3 cm, A
GH = 5 cm, SR = 2 cm and EF = 4 cm.

T F O
B H S

R
E

Thinking Skills

1. Find the area of a rhombus whose perimeter is 4a
and the length of one of the diagonals is x.

2. The diameter of a coin is 1 cm. If four of these coins
be placed on a table so that the rim of each touches
that of the other two, find the area of the unoccupied
space between them. (Take p = 3.14) BLACK

3. The length and breadth of the floor of a hall is 20 m B B
and 10 m respectively. Square tiles of 2 m dimensions L L
in three different colours are placed on the floor. A White Blue A
The first row of tiles on all sides is black. Out of the C C
remaining, one-third are white and the rest are blue. K K
How many blue tiles are there?
BLACK
273