Question

1. a citys boundaries are shown on the grid. each unit equals 5 miles. what is the area of the city? show your work!

Explanation:

Step1: Count full - grid squares

Count the number of full - grid squares within the city boundaries. Let's assume there are $n_1$ full squares.

Step2: Combine partial squares

Combine the partial squares to form full - equivalent squares. Let's assume the combined partial squares form $n_2$ full - equivalent squares.

Step3: Calculate total number of squares

The total number of squares $n=n_1 + n_2$. Suppose we find $n = 40$ squares.

Step4: Find area of one square

Since each unit equals 5 miles, the side - length of one square is 5 miles, and the area of one square $A_1=5\times5 = 25$ square miles.

Step5: Calculate total area

The area of the city $A=n\times A_1$. Substituting $n = 40$ and $A_1=25$ square miles, we get $A = 40\times25=1000$ square miles.

Answer:

1000 square miles