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

answer: a.

step-by-step explanation: the answer is a. because, you need to converge the fractions to find a solution.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!