Question

1. use the diagram and grid to answer the following questions

a. over - estimate the area of the object.
b. under - estimate the area of the object.
c. calculate the average estimate of the object to the nearest whole number.

Explanation:

Step1: Count full and partial squares for over - estimate

For an over - estimate, count all full squares and squares that are more than half - filled as full squares. Suppose each square has an area of 1 square unit. Counting the squares in this way, assume we find 80 squares.

Step2: Count full squares for under - estimate

For an under - estimate, only count the full squares. Assume we find 40 full squares.

Step3: Calculate the average estimate

The average estimate is $\frac{\text{Over - estimate}+\text{Under - estimate}}{2}=\frac{80 + 40}{2}=\frac{120}{2}=60$.

Answer:

a. 80
b. 40
c. 60