Answer/Step-by-step explanation:
2x-5y=9
Add 5y to both sides of the equation.
2x=9+5y
Divide each term by 2 and simplify.
Divide each term in 2x=9+5y by 2
Cancel the common factor of 2.
Divide x by 1.
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3x+4y=2
Add 4y to both sides of the equation
3x=2+4y
Divide each term by 3 and simplify.
Divide each term in 3x=2+4y by 3.
Cancel the common factor of 3.
Divide x by 1.
The dimensions such as length is 18 and width is 16 or length is 32 and width is 9 will produce an enclosed area of 288ft.
<h3>What is the dimension of length and width?</h3>We know that,
P = l + 2w
50 = l + 2w
50 - 2w = l
A = l x w
288 = (50 - 2w)w
288 = 50w -2w²
2w² - 50w + 288
By dividing throughout by 2
w² - 25w + 144
This is in quadratic equation form.
By applying quadratic formula,
w = (-(-25) ± ) / 2
w = (-(-25) ± 7)/2
w1 = (-(-25) + 7)/2
w1 = (25 + 7) / 2
w1 = 16
w2 = (-(-25) - 7)/2
w2 = (25 - 7) / 2
w2 = 9
By substituting the values in eq1,
A = l x w
if w = 16
288 = l x 16
l = 288/16
l = 18
if w = 9
288 = l x 9
l = 288/9
l = 32
The dimensions will be length is 18 and width is 16 or length is 32 and width is 9.
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