Advertisements
Advertisements
Question
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
Advertisements
Solution
Area of the rectangular garden L × B
= 11 m × 8 m
= 88 m2
Length of the inner rectangle L
= L – 2W
= 11 – 2(2)
= 11 – 4
= 7 m
Breadth of the inner rectangle b
= B – 2W
= 8 – 2(2)
= 8 – 4
= 4 m
Area of the inner rectangle
= l × b sq.units
= 7 × 4 m2
= 28 m2
Area of the path = Area of the outer rectangular garden – Area of the inner rectangle
= 88 m2 – 28 m2
= 60 m2
Area of the path = 60 m2
APPEARS IN
RELATED QUESTIONS
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 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.
The formula to find the area of the circular path is
The formula used to find the area of the rectangular path is
The formula to find the width of the circular path is
A path 2 m long and 1 m broad is constructed around a rectangular ground of dimensions 120 m and 90 m respectively. Find the area of the path
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 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
