Question

find the area of the region shown to the right.
754 mi.
754 mi.
the area of the region is
(simplify your answer.)

Explanation:

Step1: Identify the shape and formula

The figure is a square with side length \( s = 754 \) mi. The area \( A \) of a square is given by the formula \( A = s^2 \).

Step2: Substitute the value and calculate

Substitute \( s = 754 \) into the formula: \( A = 754^2 \). Calculate \( 754\times754 \):
\[

$$\begin{align*} 754\times754&=(700 + 54)\times(700 + 54)\\ &=700^2+2\times700\times54 + 54^2\\ &=490000+75600+2916\\ &=490000 + 75600=565600\\ 565600+2916&=568516 \end{align*}$$

\]

Answer:

\( 568516 \) square miles