The area of a rectangular horse pasture is 268,500 square yards. The length of the pasture is 5 yards less than three times the
width. What is the width of the pasture in yards? Do not include units in your answer. Please help right away! Thank you very much!
1 answer:
Answer: width = 300
<u>Step-by-step explanation:</u>
Area (A) = Length (L) x width (w)
Given: A = 268,500
L = 3w - 5
w = w
268,500 = (3w - 5) x (w)
268,500 = 3w² - 5w
0 = 3w² - 5w - 268,500
0 = (3w + 895) (w - 300)
0 = 3w + 895 0 = w - 300
-985/3 = w 300 = w
Since width cannot be negative, disregard w = -985/3
So the only valid answer is: w = 300
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