### Home > AC > Chapter 1 > Lesson 1.1.3 > Problem1-29

1-29.

Estimate the areas of Montana and California using the grid below. Which state has the greatest area? Compare the area of Montana to the area of California. Explain how you estimated the area of each state.

Find the number of whole squares each state contains.

Montana

California

$22$

$31$

$\$

Find the number of partial squares each state contains.

Montana

California

$22$

$28$

$31$

$42$

$\$

Assume that the partial squares have an average area of half a square. Use ths assumption to estimate the area of each state.

Montana

California

$22$
$+\ \frac{1}{2}\cdot$
$28$

$31$
$+\ \frac{1}{2}\cdot$
$42$$\$

Montana

California

$22$
$+\ \frac{1}{2}\cdot$
$28$

$31$
$+\ \frac{1}{2}\cdot$
$42$$\$

$36$

$52$