# Google Earth Math Problems using Area and proportions

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```					Google Earth Math Problems: Using Area and Proportion
Corn Problem

Part 1 – Find the Area
1. Corn Problem
1. Find the area of the marked field of corn. Use the ruler tool and measure lengths to the
nearest hundredth of a mile. Write your work on another sheet of paper. Include a labeled
sketch of the field and work down from formulas.

2. Click on the house icon and solve the given problem.

3. You may use a calculator for assistance but write your work in steps on paper.

Part Two – Find the Value
1. Find the value. Farmer Green is trying to estimate how much money she will make from her
corn field this year. You will need three proportions to solve this problem.

1. First find how many acres of corn Farmer Green has. Write a proportion using the unit rate of
640 acres per 1 square mile with your previous answer to find how many acres she has.

2. Next, use a proportion to find how many bushels of corn her field will produce. Use 40
bushels per acre as your unit rate.

3. Finally, write a proportion to find the value of the bushels using a unit rate of \$4.655 for 1
bushel.

A=lw+lw+lw
A=(.50x.24)+(.22x.24)+(.50x.25)
A= .1200+.0528+.1250
A= .2978 or .30 mi²
.30mi²x640= 192 acres
192acresx40bushels = 7680 bushels
Wheat Problem

Part 1
1. Find the area of the marked field of wheat. Use the ruler tool and measure lengths to the nearest
hundredth of a mile. Write your work on another sheet of paper. Include a labeled sketch of the field and
work down from formulas.

2. Click on the house icon and solve the given problem.

You may use a calculator for assistance but write your work in steps on paper.

A=lxw
A=.97x.48
A=.4656mi²

A=½bh
A=.5x.41x.19
A=0.03895mi²

(A+A) =.5046mi² -(.08x.08)-(.11x.11)
.5046mi² - .0064 - .0121= .4861mi²

Part Two
Farmer Ingqvist is trying to decide whether he should plant soybeans next year. Find how much he will
make with his wheat field this year and estimate how much he will make if it was soybean.

1. First find how many acres of wheat Farmer Ingqvist has. Write a proportion using the unit rate of 640
acres per 1 square mile with your previous answer to find how many acres he has.

2. Next use a proportion to find how many bushels of wheat his field will produce. Use 40 bushels per

3. Now write a proportion to find the value of the bushels using a unit rate of \$9.45 for 1 bushel of wheat.

4. Repeat the step 3 above using a unit rate of \$12.685 for 1 bushel of soybean.

5. Report the difference of the two crops.

Round off to .49mi²

.49x640= 313.6 acres of land
313.6acresx 40 bushels= 12544 bushels of wheat

12544x\$9.45= \$118,540.80 for wheat.
12544x12.685 = \$159,120.64 for soybean
the difference = \$40,579.84

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