SOLUTION: the length of a rectangle is 3 yd less than twice the width, and the area of the rectangle is 14 yd^2. Find the dimensions of the rectangle.

Question 925972: the length of a rectangle is 3 yd less than twice the width, and the area of the rectangle is 14 yd^2. Find the dimensions of the rectangle.

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
L = 2w - 3
Lw = 14
---
(2w - 3)w = 14
2ww - 3w - 14 = 0
---
the above quadratic equation is in standard form, with a=2, b=-3 and c=-14
---
to solve the quadratic equation, by using the quadratic formula, copy and paste this:
2 -3 -14
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
---
the quadratic has two real roots at:
---
w = 3.5
w = -2
---
the negative root doesn't fit the problem statement, so use the positive root:
---
answer:
w = 3.5 yd
L = 4 yd
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
RELATED QUESTIONS
the length of a rectangle is 3 yd less than twice its width, and the area of the... (answered by Cromlix)

The length of a rectangle is 3 yd less than twice the width, and the area of the... (answered by Cromlix)

The length of a rectangle is 1 yd more than twice its width, and the area of the... (answered by checkley77)

The length of a rectangle is 1 yd less than twice the width, and the area of the... (answered by MathLover1,Alan3354,ikleyn)

The area of a rectangle is 54 yd^2 , and the length of the rectangle is 3 yd more than... (answered by TimothyLamb)

the area of a rectangle is 54 yd^2,and the length of the rectangle is 3 yd more than... (answered by ikleyn)

the perimeter of a rectangle is 36 yd. The width is 18 yd less than twice the length.... (answered by mandi08)

The area of a rectangle is 44 yards (squared) , and the length of the rectangle is 3 yd... (answered by swincher4391)

the area of a rectangle is 99 yd^2, and the length of the rectangle is 7 yd more than... (answered by TimothyLamb)