Ex 11.4, 4 A verandah of width 2.25 m is constructed all along outside a room which is 5.5 m long and 4 m wide. Find: (i) the area of the verandah.
Here,
Area of verandah = Area of larger rectangle − Area of smaller rectangle
Finding length and breadth of both rectangles
Smaller rectangle
Length of smaller rectangle = 5.5 m
Breadth of smaller rectangle = 4 m
Larger Rectangle
2.25 m of verandah has been constructed all around outside of smaller rectangle
∴ Length of larger rectangle = Length of smaller rectangle + 2 × 2.25
= 5.5 + 2 (225/100)
= 5.5 + 450/100
= 55/10 + 45/10
= (55 + 45)/10
= 100/10
= 10 m
∴ Breadth of larger rectangle = Breadth of smaller rectangle + 2 × 2.25
= 4 + 2 (225/100)
= 4 + 450/100
= 4 + 45/10
= (4 × 10 + 45)/10
= (40 + 45)/10
= 85/10
= 8.5 m
Larger rectangle
Length = l
= 10 m
Breadth = b
= 8.5 m
Area of larger rectangle
= l × b
= 10 × 8.5
= 10 × 85/10
= 85 m2
Smaller rectangle
Length = l
= 5.5 m
Breadth = b
= 4 m
Area of smaller rectangle
= l × b
= 5.5 × 4
= 55/10 × 4
= 55/5 × 2
= 11 × 2
Now,
Area of verandah = Area of larger rectangle − Area of smaller rectangle
= 85 − 22
= 63 m2
∴ Area of path is 63 m2
Ex 11.4, 4 A verandah of width 2.25 m is constructed all along outside a room which is 5.5 m long and 4 m wide. Find: (ii) the cost of cementing the floor of the verandah at the rate of Rs 200 per m2.
Cost of cementing verandah in 1 m2 = Rs 200
Cost of cementing verandah in 63 m2 = Rs 200 × 63
= Rs 12,600
∴ It will cost Rs 12,600 for it’s cementing
Cost of cementing verandah in 1 m2 = Rs 200
Cost of cementing verandah in 63 m2 = Rs 200 × 63
= Rs 12,600
∴ It will cost Rs 12,600 for it’s cementing
Cost of cementing verandah in 1 m2 = Rs 200
Cost of cementing verandah in 63 m2 = Rs 200 × 63
= Rs 12,600
∴ It will cost Rs 12,600 for it’s cementing
Cost of cementing verandah in 1 m2 = Rs 200
Cost of cementing verandah in 63 m2 = Rs 200 × 63
= Rs 12,600
∴ It will cost Rs 12,600 for it’s cementing
Cost of cementing verandah in 1 m2 = Rs 200
Cost of cementing verandah in 63 m2 = Rs 200 × 63
= Rs 12,600
∴ It will cost Rs 12,600 for it’s cementing
Cost of cementing verandah in 1 m2 = Rs 200
Cost of cementing verandah in 63 m2 = Rs 200 × 63
= Rs 12,600
∴ It will cost Rs 12,600 for it’s cementing

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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