Sam wants to fence his rectangular garden plot along its length on the front side. The perimeter of the plot is 24 meters, and its length is 3 times its width. If x is the length and y is the width of the plot, set the equations of the system. Solve and determine the values of x and y. If the cost of fencing is $25 per meter, how much does Sam need to spend on fencing?

Question

Mathematics

Pierce

23 April, 20:12

Sam wants to fence his rectangular garden plot along its length on the front side. The perimeter of the plot is 24 meters, and its length is 3 times its width. If x is the length and y is the width of the plot, set the equations of the system. Solve and determine the values of x and y. If the cost of fencing is $25 per meter, how much does Sam need to spend on fencing?

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Answers (1)

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Orr · Answer 1

We know that

2l + 2w = 24

And:

l = 3w

By substitution:

2 (3w) + 2w = 24

6w + 2w = 24

8w = 24

w = 3 metres

l = 3 x 3 = 9 metres

Total cost = 24 x $25 = $600