Question 825485
---
a = 20*27
a = 540 sq.ft
---
A = 2a
A = 1080 sq.ft
---
x = new length
y = new width
---
1080 = xy
x = y + 14
---
1080 = xy
1080 = (y + 14)y
1080 = yy + 14y
yy + 14y - 1080 = 0
---
the above quadratic equation is in standard form, with a=1, b=14, and c=-1080
---
to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 14 -1080
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
---
the quadratic has two real roots at:
y = 26.6005952
y = -40.6005952
---
the negative root doesn't fit the problem statement, so use the positive root
---
answer:
y = new width = 26.6005952 ft
x = new length = 40.6005952 ft
---
check:
A = xy
A = 1080
---
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 4-equations 4-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php