Mathematics: The perimeter of a fence is 140 feet. the sum of three times the length and two times the width is 180 feet. what are the length and width of the fence?

The perimeter of a fence is 140 feet. the sum of

birdman37361

15.03.2022

The length of the fence is $40\ ft$

The width of the fence is $30\ ft$

Step-by-step explanation:

Let

x-----> the length of the fence

y----> the width of the fence

we know that

The perimeter of the fence is equal to

P=2(x+y)

$P=140\ ft$

140=2(x+y)

70=(x+y) ------> equation A

3x+2y=180 -----> equation B

Using a graphing tool----> solve the system of equations

Remember that the intersection point both graphs is the solution of the system of equations

The solution is the point (40,30)

see the attached figure

therefore

The length of the fence is $40\ ft$

The width of the fence is $30\ ft$

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