PLEASE HELP ME LOL
1 answer:
If the gardener want the length to be 14 feet longer than it is wide, then L=w+14. We are given an area of 112. The area formula for a rectangle is A=L*W. Filling in accordingly, 112 = (w+14)(w). Distributing we have 
. We are looking for the dimensions of the garden, so we have to solve for w. To do that we have to factor. Set it equal to 0 to get the quadratic 
. Plug that into the quadratic formula to get w values of 5.69 and -19.69. The 2 things in math that will never EVER be negative are time and distance/length so we will not use the negative value. Therefore, our width is 5.69. Our length of w+14 is then 5.69+14 is 19.69. There's our dimensions: width is 5.69 and length is 19.69
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Step-by-step explanation:
First, let's move the to the right-hand side so we can determine what constant we'll need on the left-hand side to complete the square:
From here, since the coefficient of the term is
, we know the square will be
(since
it's half of
).
To complete this square, we will need to add to both sides of the equation:
Now we can take the square root of both sides to figure out the solutions to :
