Chapter 11 Mensuration - Shapes Worksheet Page 10
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M
ATHEMATICS
2
2. The area of a trapezium is 34 cm
and the length of one of the parallel sides is
10 cm and its height is 4 cm. Find the length of the other parallel side.
3. Length of the fence of a trapezium shaped field ABCD is 120 m. If
BC = 48 m, CD = 17 m and AD = 40 m, find the area of this field. Side
AB is perpendicular to the parallel sides AD and BC.
4. The diagonal of a quadrilateral shaped field is 24 m
and the perpendiculars dropped on it from the
remaining opposite vertices are 8 m and 13 m. Find
the area of the field.
5. The diagonals of a rhombus are 7.5 cm and 12 cm. Find
its area.
6. Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm.
If one of its diagonals is 8 cm long, find the length of the other diagonal.
7. The floor of a building consists of 3000 tiles which are rhombus shaped and each of
its diagonals are 45 cm and 30 cm in length. Find the total cost of polishing the floor,
`
2
if the cost per m
is
4.
8. Mohan wants to buy a trapezium shaped field.
Its side along the river is parallel to and twice
the side along the road. If the area of this field is
2
10500 m
and the perpendicular distance
between the two parallel sides is 100 m, find the
length of the side along the river.
9. Top surface of a raised platform is in the shape of a regular octagon as shown in
the figure. Find the area of the octagonal surface.
10. There is a pentagonal shaped park as shown in the figure.
For finding its area Jyoti and Kavita divided it in two different ways.
Find the area of this park using both ways. Can you suggest some other way
of finding its area?
11. Diagram of the adjacent picture frame has outer dimensions = 24 cm × 28 cm
and inner dimensions 16 cm × 20 cm. Find the area of each section of
the frame, if the width of each section is same.
11.6 Solid Shapes
In your earlier classes you have studied that two dimensional figures can be identified as
the faces of three dimensional shapes. Observe the solids which we have discussed so far
(Fig 11.24).
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