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lyudmila [28]
3 years ago
13

The trapezoid below has legs with lengths y feet and one base that is four feet longer than the other base, x.

Mathematics
1 answer:
Rudiy273 years ago
6 0

The equation for the leg length, y is y = (P - 2x - 4)/2

The length of the leg "y" is 3 feet

a) Given the perimeter of the trapezoid expressed as:

P=2x + 2y + 4.

We are to make <em>y the subject of the formula </em>as shown:

P = 2(x+y) + 4

P - 2x = 2y + 4

P - 2x - 4 = 2y

Swap

2y = P - 2x - 4

y = (P - 2x - 4)/2

Hence the equation for the leg length, y is y = (P - 2x - 4)/2

b) Give that P = 26 feet and x = 8feet

y = (P - 2x - 4)/2

y = (26 - 2(8) - 4)/2

P = 26-20/2

P = 6/2

y = 3 feet

This shows that the length of the leg "y" is 3 feet

Learn more here: brainly.com/question/18370541

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