Advertisements
Advertisements
Question
A canal of width 1 m is constructed all along inside the field which is 24 m long and 15 m wide. Find (i) the area of the canal (ii) the cost of constructing the canal at the rate of ₹ 12 per sq.m.
Advertisements
Solution
Length of the field L = 24 m
Width (Breadth) of the field B = 15 m
(i) Area of the field = L × B sq.units
= 24 × 15 m2
= 360 m2
(ii) Width of the canal (W) = 1 m
Length of the field without canal (l) = L – 2(W)
= 24 – 2(1) m
= 24 – 2 m
= 22 m
Width of the field without canal (b) = B – 2W
= 15 – 2(1) m
= 15 – 2 m
= 13 m
Area of the field without canal = l × b sq.units
= 22 × 13 m2
= 286 m2
Area of the canal = 360 – 286 = 74 m2
Cost of constructing 1 m2 canal = ₹ 12
Cost of the constructing 74 m2 canal = ₹ 12 × 74
= ₹ 888
APPEARS IN
RELATED QUESTIONS
There is a circular lawn of radius 28 m. A path of 7 m width is laid around the lawn. What will be the area of the path?
A circular carpet whose radius is 106 cm is laid on a circular hall of radius 120 cm. Find the area of the hall uncovered by the carpet
A school ground is in the shape of a circle with radius 103 m. Four tracks each of 3 m wide has to be constructed inside the ground for the purpose of track events. Find the cost of constructing the track at the rate of ₹ 50 per sq.m
The figure shown is the aerial view of the pathway. Find the area of the pathway
A rectangular garden has dimensions 11 m × 8 m. A path of 2 m wide has to be constructed along its sides. Find the area of the path
A picture is painted on a ceiling of a marriage hall whose length and breadth are 18 m and 7 m respectively. There is a border of 10 cm along each of its sides. Find the area of the border
Four circles are drawn side by side in a line and enclosed by a rectangle as shown below. If the radius of each of the circles is 3 cm, then calculate:
(i) The area of the rectangle.
(ii) The area of each circle.
(iii) The shaded area inside the rectangle.
A circular path has to be constructed around a circular lawn. If the outer and inner circumferences of the path are 88 cm and 44 cm respectively, find the width and area of the path
A goat is tethered with a rope of length 45 m at the centre of the circular grassland whose radius is 52 m. Find the area of the grassland that the goat cannot graze
A rectangular field is of dimension 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 (i) the area of the paths (ii) the area of the remaining portion of the field (iii) the cost of constructing the roads at the rate of ₹ 10 per sq.m
