Ex 11.4, 5 - A path 1 m wide is built along the border and inside a

Ex 11.4, 5 - Chapter 11 Class 7 Perimeter and Area - Part 2
Ex 11.4, 5 - Chapter 11 Class 7 Perimeter and Area - Part 3 Ex 11.4, 5 - Chapter 11 Class 7 Perimeter and Area - Part 4 Ex 11.4, 5 - Chapter 11 Class 7 Perimeter and Area - Part 5

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Question 5 A path 1 m wide is built along the border and inside a square garden of side 30 m. Find: (i) the area of the path Here, Area of path = Area of larger square − Area of smaller square Finding side of both squares Side of larger square = 30 m Now, 1 m path is constructed all around inside the larger square ∴ Side of smaller square = Side of larger square − 2 × 1 = 30 − 2 = 28 m Larger square Side = a = 30 m Area of larger square = a × a = 30 × 30 = 900 m2 Smaller square Side = a =28 m Area of smaller square = a × a = 28 × 28 = 784 m2 Now, Area of path = Area of larger square − Area of smaller square = 900 − 784 = 116 m2 Question 5 A path 1 m wide is built along the border and inside a square garden of side 30 m. Find: (ii) the cost of planting grass in the remaining portion of the garden at the rate of Rs 40 per m2. Now, Grass will be planted inside the smaller square ∴ Area into which grass has to be planted = Area of smaller square = 784 m2 Cost of planting grass in 1 m2 = Rs 40 Cost of planting grass in 784 m2 = Rs 40 × 784 = Rs 31,360 ∴ Area of path is 116 m2 and it will cost Rs 31,360 to plant grass in remaining area

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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.