Answered


A rectangle has a length of five inches more than its width. It's are is 24 square inches. Find
the dimensions of the rectangle. Show your solution​

Sagot :

RobbieRavenclawviz

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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