1. A verandah 1.25 m is constructed all along outside of a room 7.
5 m long and 5 m
wide.
Find:
(a) the area of the verandah.
(b) the cost of cementing the floor of the verandah at the rate of $15 per m².
2. A floor is 10 m long and 6 m wide. A square carpet of side 5 m is laid on the floor.
Find the area of the floor not carpeted.
3. Four square flowerbeds each of sides 2 m are dug on a piece of land 12 m long and
9 m wide. Find the area of the remaining portion of the land. Find the cost of
levelling this land at the rate of $3 per 100 cm².
4. The side of a square flowerbed is 1 m 60 cm. It is enlarged by digging a path 25 cm
wide all around.
Find:
(a) the increase in the area of flowerbed.
(b) the area of the enlarged flowerbed.
5. Two crossroads, each of width 8 m, run at right angles through the centre of a
rectangular garden of length 500 m and breadth 250 m and parallel to its sides.
Find:
(a) the area of the garden excluding crossroads.
(b) the area of the crossroads.
Convert these areas into hectares and ares.
6. A rectangular field is of dimensions 20 m × 15 m. Two paths run parallel to the
sides of the rectangle through the centre of the field. The width of the longer path is 2
m and that of the shorter path is 1 m.
Find that:
(a) area of the paths
(b) area of the remaining portion of the field.
(c) cost of constructing the roads at the rate of $10 per m²
7. A square lawn is surrounded by a path 2 m wide. If the area of the path is 240 m²,
find the area of the lawn.
8. A path 5 m wide runs along inside a rectangular field. The length of the
rectangular field is three times the breadth of the field. If the area of the path is 500
m², then find the length and breadth of the field.
9. A strip of width 3 cm is cut out all round from a sheet of paper with dimensions 30
cm × 20 cm. Find the area of the strip cut out and the area of the remaining sheet.
