Question

Dr. Rita instructed her gardener to make 5 square flower beds of side (2x+1) metre each in the garden. Find the algebraic expression for the total cost of ploughing the flower beds at the cost of 15 rs. square metre​

Answer 1

Answer:

• Side of Square flower bed = (2x + 1)

• Area of Square flower beds :

⇒ Area = Area of 1 Square flower bed × Number

⇒ Area = Side × Side × Number

⇒ Area = (2x + 1) m × (2x + 1) m × 5

⇒ Area = 5(2x + 1)² m²

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• Cost of Ploughing the flower beds :

⇢ Cost = Area × Rate

⇢ Cost = 5(2x + 1)² m² × Rs. 15 /m²

⇢ Cost = 5(2x + 1)² × Rs. 15

⇢ Cost = Rs. 75(2x + 1)²

∴ Hence, Cost of ploughing can be find by the expression [75(2x + 1)²].