Advertisements
Advertisements
Question
A strip of 4 cm wide is cut and removed from all the sides of the rectangular cardboard with dimensions 30 cm × 20 cm. Find the area of the removed portion and area of the remaining cardboard
Advertisements
Solution
Area of the outer rectangular cardboard
= L × B sq.units
= 30 × 20 cm2
= 600 cm2
Width of the stip = 4 cm
Length of the inner rectangle = L – 2W
l = 30 – 2(4)
= 30 – 8
l = 22 cm
Breadth of the inner rectangle B = 2W
= 20 – 2(4)
= 20 – 8
b = 12 cm
Area of the inner rectangle = l × b sq.units
= 22 × 12 cm2
= 264 cm2
Area of the remaining cardboard = 264 cm2
Area of the removed portion = Area of outer rectangle – Area of the inner rectangle
= 600 – 264 cm2
Area of the removed portion = 336 cm2
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 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.
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
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 cow is tethered with a rope of length 35 m at the centre of the rectangular field of length 76 m and breadth 60 m. Find the area of the land that the cow cannot graze?
A path 5 m wide runs along the inside of the 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
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
