The length of a rectangle is 3 more than twice the width. If the area is 20 square feet, what is the width of the rectangle?

a) .4 feet

b) 8 feet

c) 2.5 feet

d) 4 feet.

SmartMathMan Nov 21, 2020

#1**+2 **

CPhill!!!! I haven't seen you in such a long time! I just noticed you were answering my question. Thank you!

SmartMathMan Nov 21, 2020

#2**+1 **

Thanks, SMM....good to see you....I took a sabbatical (LOL!!!)

This one isn't too bad

Let L = 2W + 3

So we have

L * W = 20

(2W + 3) (W) = 20 simplify

2W^2 + 3W = 20

2W^2 + 3W - 20 = 0 factor as

(2W - 5) ( W + 4) = 0

Only the first factor helps us

Set to 0 and solve for W

2W - 5 = 0

2W = 5

W = 5/2 = 2.5 ft

CPhill Nov 21, 2020