Answer:
(x+3) x is 15
(x+7) x is -25
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
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Answer:
The dimensions are 18 feet by 22 feet.
Step-by-step explanation:
The length is (x+3) and the width is (x+7) feet.
The area is 396 square feet.
The area is found by multiplying length and width.
[tex](x+3)(x+7)=396[/tex]
=> [tex]x^{2} +3x+7x+21=396[/tex]
=> [tex]x^{2} +10x+21-396=0[/tex]
=> [tex]x^{2} +10x-375=0[/tex]
Now solving this quadratic equation, we get the roots ;
x = 15 and x = -25 (ignore the negative value)
Hence we will take x = 15
The length is (x+3) = [tex]15+3[/tex] = 18 feet
The width is (x+7) = [tex]15+7[/tex] = 22 feet
We can check this as :
[tex]18\times22=396[/tex] (length x width = area)
