SOLUTION: the length of a rectangle is 5 cm less than twice the width. The area is 75 square cm. Find the length and the width

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Question 870524: the length of a rectangle is 5 cm less than twice the width. The area is 75 square cm. Find the length and the width
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
L=-5+2w and wL=75;
w%28-5%2B2w%29=75
2w%5E2-5w=75
2w%5E2-5w-75=0
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D=25-4%2A2%2A%28-75%29=25%2B4%2A150=625=25%5E2
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w=%285-sqrt%2825%5E2%29%29%2F4=%285-25%29%2F4 this solution does not work.
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w=%285%2B25%29%2F4=29%2F4

w=29/4 and then L=29/2-5=29/2-10/2=19/2=L.

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

the length of a rectangle is 5 cm less than twice the width. The area is 75 square cm. Find the length and the width


Width:  highlight_green%287.5%29 cm

Length: highlight_green%2810%29 cm