Answer:
[tex]A=256\ in^2[/tex]
Step-by-step explanation:
Area of a Rectangle
A rectangle is a four-sided polygon with four internal right angles. The sides are called width (w) and length (h). Two important measures about the rectangle are the area (A) and the perimeter (P):
[tex]A=w.h[/tex]
P=Sum of the four sides
[tex]P=2(w+h)[/tex]
We know the length is 4 times the width and the width is 8 inches, thus
[tex]w=8\ in[/tex]
[tex]l=4\ in\cdot 8\ in=32\ in^2[/tex]
Thus, the area of the rectangle is
[tex]A=8\ in \cdot 32 \ in=256\ in^2[/tex]
[tex]\boxed{A=256\ in^2}[/tex]
