A garden is 90m long and 80m broad. A path 5m wide is to be build outside and around it. Find the area of the path. Also find the cost of cementing the path at the rate of Rs.200 per m².

1. Area of the path = 1800 m²

2. The cost of cementing the path = Rs. 360000

Step-by-step explanation:

Dimension of the garden = 90 m by 80 m.

Width of path = 5 m

1. Area of the path = Area of the path with garden - Area of the garden

Area of the garden = length x breadth

                                = 90 x 80

                                = 7200

Area of the garden is 7200 m².

Area of the garden with path = length x breadth

But, length = 90 + 10 = 100 m

      breadth = 80 + 10 = 90 m

Area of the garden with path = 100 x 90

                                                 = 9000

Area of the garden with path = 9000  m²

Area of the path = 9000 - 7200

                           = 1800 m²

2. The cost of cementing the path = Rs.200 x 1800

                                            = Rs. 360000

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x