SOLUTION: the length of a rectangle is 5m more than 4 times its width. find the length and the width given that the area is 51m.

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Question 865809: the length of a rectangle is 5m more than 4 times its width. find the length and the width given that the area is 51m.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
L=5+4w, wL=51.

w%284w%2B5%29=51
4w%5E2%2B5w-51=0. Try to factor, or....
w=%28-25%2Bsqrt%2825%2B4%2A4%2A51%29%29%2F%282%2A4%29=%28-25%2Bsqrt%2825%2B16%2A51%29%29%2F8
w=%28-25%2Bsqrt%28841%29%29%2F8
w=%2829-25%29%2F8=4%2F8
highlight%28w=1%2F2%29
.
.
you can finish.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

the length of a rectangle is 5m more than 4 times its width. find the length and the width given that the area is 51m.


Width:   highlight_green%283%29m

Length:  highlight_green%2817%29m