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
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
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
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 circular path has to be constructed around a circular ground. If the areas of the outer and inner circles are 1386 m2 and 616 m2 respectively, find the width and area of the path
