Answer:
The width is 3 inches, and the length is 8 inches.
Step-by-step explanation:
Given: [tex]w=x[/tex], [tex]l=x+5[/tex], [tex]A=24[/tex]
Find: [tex]w=?[/tex], [tex]l=?[/tex]
Formula: [tex]lw=A[/tex]
Solution:
[tex]lw=A\\(x+5)(x)=24\\x^2+5x=24\\x^2+5x-24=0\\(x+8)(x-3)=0\\x+8=0;\:\:x-3=0\\x=-8;\:\:\boxed{x=3}[/tex]
We will just get the positive one because there are no negative measurements. So, the width is 3 inches. The length is 5 inches more than the width. The length is 8 inches.
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