Answer:
Length of the rectangle is [tex]18.85\ inches[/tex],and the width of the rectangle is [tex]16.35\ inches[/tex]
Step-by-step explanation:
Let the width of the rectangle be [tex]x[/tex] inches
Then
The length of the rectangle will be [tex]x+2.5[/tex] inches
So perimeter [tex]=2(length + width)[/tex]
Plugging the values:
⇒ [tex]2(x+x+2.5)=75.4[/tex]
⇒ [tex]2(2x+2.5)=75.4[/tex]
⇒ [tex]4x+10=75.4[/tex]
Subtracting [tex]10[/tex] from both sides.
⇒ [tex]4x=65.4[/tex]
⇒ [tex]x=\frac{65.4}{4}=16.35\ inches[/tex]
So the width of the rectangle is [tex]16.35\ inches[/tex]
And the length of the rectangle is [tex]18.85\ inches[/tex]
