Then we conclude that the length of the rectangular field is 94 feet.
For a rectangle of length L and width W, the perimeter is given by the formula:
P = 2*(W + L)
We know that:
The length is 6 ft less than five times the width, then:
L = 5*W - 6ft
Isolating the width we cah write:
W = (L + 6ft)/5
And the perimeter is 228 feet, then we can write:
228ft = 2*(W + L)
Replacing the width equation in the perimeter equation we get:
228ft = 2*( (L + 6ft)/5 + L)
Now we can solve this for L.
228ft/2 = (L + 6ft)/5 + L
114ft = L/5 + 6ft/5 + L
114ft - 6ft/5 = L*(1 + 1/5) = L*(6/5)
(5/6)*(114ft - 6ft/5) = L =94ft
Then we conclude that the length of the rectangular field is 94 feet.
If you want to learn more about rectangles:
https://brainly.com/question/17297081
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