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OverLord2011 [107]
3 years ago
13

A path 5m wide is to be built along the border and inside a square garden of side 90m. Find the cost of cementing the path at th

e rate of Rs.10 per meter square.Required to answer. Single choice.​
Mathematics
1 answer:
Leya [2.2K]3 years ago
8 0

Answer:

Total cost of cementing the path = Rs. 17,000.

Step-by-step explanation:

Let the square garden be PQRS

Let the region inside the garden (PQRS) be KLMN.

<u>Given the following data;</u>

Length of sides of PQRS = 90m

Width of path = 5m

Cost = Rs. 10 per m²

Area of PQRS = 90 * 90

Area of PQRS = 8100m²

<em>To find the area of KLMN;</em>

KL = KN = 90 - (5 + 5)

KL = KN = 90 - 10

KL = KN = 80m

Area of KLMN = KL * KN

Substituting into the equation, we have;

Area of KLMN = 80 * 80

Area of KLMN = 6400 m²

Area of path = Area of PQRS - Area of KLMN

Area of path = 8100 - 6400

Area of path = 1700 m²

Total cost of cementing the path = Area of path * Cost

Total cost of cementing the path = 1700 * 10

<em>Total cost of cementing the path = Rs. 17,000</em>

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