Answer:
L = 38, W = 92
or W = 38, L = 92
Step-by-step explanation:
Perimeter = 2 (Width + Length) = 260
→ W = 130 - L
Area = Width × Length = 3496
substitute W into area equation:
→ [tex](130 - L) L = 3496\\130L - L^2=3496\\L^2 - 130L + 3496 =0[/tex]
Using quadratic formula to find L:
[tex]L=\frac{-(-130)+\sqrt{130^2-4(3496)}}{2} = 38\\ or\\L =\frac{-(-130)-\sqrt{130^2-4(3496)}}{2}= 92[/tex]
