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
Which choice shows the result of substituting 3x – 5 into the second equation for y?
2 answers:
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