Advertisements
Advertisements
प्रश्न
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
Advertisements
उत्तर
Length of the ceiling L = 18 m
Breadth of the ceiling B = 7 m
Area of the ceiling = L × B sq.units
= 18 × 7 m2
= 126 m2
Width of the boarder W = 10 cm
= `10/100` m
= 0.1 m
Length of the ceiling without border = L – 2W
= 18 – 2(0.1) m
= 18 – 0.2 m
= 17.8 m
Breadth of the ceiling without border = B – 2W
= 7 – 2(0.1) m
= 7 – 0.2 m
= 6.8 m
Area of the ceiling without border = l × b sq.units
= 17.8 × 6.8 m2
= 121.04 m2
∴ Area of the border = Area of the ceiling – Area of the ceiling without border
= 126 – 121.04 m2
= 4.96 m2
Area of the border = 4.96 m2
APPEARS IN
संबंधित प्रश्न
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 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 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 used to find the area of the rectangular path is
The formula to find the width of the circular path is
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 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 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
