Harry spent $9000 on fencing

Question

Harry spent $9000 on fencing his rectangular backyard. The fencing cost $72 per metre. The length of the fence line is 9.5 metres less than the width. What are the dimensions of the backyard?

Answer 1

Let width = x

Let length = x - 9.5

 

Since fencing costs $72 for each meter, the total cost of fencing is

 

72 * 2(x + x - 9.5) = 9000

 

144(2x - 9.5) = 9000

 

 

Solve the bolded equation for x.

Answer 2

$9000 / $72 per meter = 125 meters

w + w - 9.5 = 62.5

 

Can you solve for w and answer?