The length of a rectangle is 7 yd less than three times the width and the area is 66 us square. what is the length and width

L = 3w - 7
Lw = 66

Lw = 66
(3w - 7)w = 66
3ww - 7w - 66 = 0

the above quadratic equation is in standard form, with a=3, b=-7, and c=-66

to solve the quadratic equation, by using the quadratic formula, copy and paste this:
3 -7 -66
into this solver: https://sooeet.com/math/quadratic-equation-solver.php

the quadratic has two real roots at:

w = 6
w = -3.6666666

The negative root doesn't fit the problems statement, so use the positive root instead:

w = 6

L = 3w - 7
L = 3*6 - 7
L = 11

w = 6 yds
L = 11 yds

5

step-by-step explanation:

∠cbe and ∠deb are same-side interior angles.

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