Question

A square that is 8mi on a side is placed inside a rectangle that has a width of 10mi and a length of 19mi. What is the area of the region inside the rectangle that surrounds the square?

Answer 1

To find the area surrounding the square inside the rectangle, subtract the area of the square (64 square miles) from the area of the rectangle (190 square miles), resulting in 126 square miles.

Step-by-step explanation:

Area Inside the Rectangle Surrounding the Square

To find the area inside the rectangle that surrounds the square, first calculate the area of both the rectangle and the square and then subtract the area of the square from the area of the rectangle. The formula for the area of a rectangle is length × width, and for a square, it is side × side (or side squared).

Area of the rectangle = Length × Width = 19mi × 10mi = 190 square miles.

Area of the square = Side × Side = 8mi × 8mi = 64 square miles.

Subtract the area of the square from the area of the rectangle to find the area that surrounds the square:

Area surrounding the square = Area of the rectangle - Area of the square

= 190 square miles - 64 square miles = 126 square miles.