Exercise 9.1
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1. In exchange for a square plot of land one of whose sides is 84 m, a man wants to buy a rectangular plot 144
long and of the same area as the square plot. Determine the width of the rectangular plot.
2. The dimensions of the floor of a rectangular hall are 4 m x 3 m. The floor of the hall is to be tiled fully wit
8 cm x 6 cm rectangular tiles without breaking tiles to smaller tiles. Find the number of required tiles.
3. In given figure, ABCD is a rectangle. The radius of the semicircles drawn on AD and D
BC as diameters and radius of circle drawn in between is the same. If BC = 7 cm,
find the area of the shaded region.
4. A table cover 4 m x 2 m is spread on a table. Find the cost of polishing the top of A
the table at * 2.25 per sq. m, if 25 cm table cover is hanging all round the table.
5. The length of a square is increased by 40% while breadth is decreased by 40%. Find the ratio of the area of the
resulting rectangle so formed to that of the original square.
6. A paper is in the form of a square of side 20 m. Semicircles are drawn inside the
square paper on two sides as diameter. The semicircular portions are cut off (see
adjoining figure). Find the area of remaining paper. (Use a = 3.14)
20
7. Two adjacent sides of a parallelogram are 3.2 cm and 4 cm. What is the ratio of
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their altitudes?
8. The area of a parallelogram is 512 m². If altitude is twice the corresponding base, A
determine the base and altitude.
4 A playground in the form of a rectangle having semi-circles on the shorter sides. Find the area when the lens
of the rectangular portion is 80 m and the breadth is 42 m.)
10. A wire when bent in the form of a square encloses an area of 484 cm2 (if the same wire is bent in the form
D
M
20 m
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plz shorten it it is long I can't read this
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