Question 4 - Area of Path and Cross roads - Worksheet - Chapter 9 Class 7 Perimeter and Area
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
Question 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 Question 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
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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo