Answer:
The length is [tex]15\ ft[/tex]
The width is [tex]12\ ft[/tex]
Step-by-step explanation:
we know that
The area of rectangle is equal to
[tex]A=LW[/tex]
we have
[tex]A=180\ ft^{2}[/tex]
so
[tex]180=LW[/tex] -----> equation A
[tex]W=L-3[/tex] ------> equation B
substitute equation B in equation A and solve for L
[tex]180=L(L-3)[/tex]
[tex]180=L^{2}-3L[/tex]
[tex]L^{2}-3L-180=0[/tex]
using a graphing tool------> solve the quadratic equation
The solution is [tex]L=15\ ft[/tex]
see the attached figure
Find the value of W
[tex]W=15-3=12\ ft[/tex]
