Question

a. each square on the map represents 2,178 square feet. make an estimate for the number of square feet shown on the map. explain or show your reasoning.
b. each square represents $\frac{1}{20}$ acre of actual land. how many square feet are in an acre? explain or show your reasoning.

Explanation:

Step1: Estimate number of squares on map

Count or estimate the number of squares roughly. Let's assume we estimate there are 50 squares (this is a made - up estimate as the actual count from the image isn't clear).

Step2: Calculate total square feet for part a

Since each square represents 2178 square feet, the total number of square feet is the number of squares times the area per square. So $50\times2178 = 108900$ square feet.

Step3: Solve for area of an acre in part b

If each square represents $\frac{1}{20}$ acre and each square is 2178 square feet, and we let $x$ be the number of square feet in an acre. Then $\frac{1}{20}x=2178$. Solving for $x$ by multiplying both sides by 20, we get $x = 2178\times20=43560$ square feet.

Answer:

a. An estimate could be 108900 square feet (assuming 50 squares).
b. 43560 square feet.