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Cougar Park is shaped like a parallelogram and has an area of 1/10 square mile. It’s base is 3/8 mile. What is its height?

2 Answers

5 votes
4/15 Miles
The formula for the area of a parallelogram is A=b*h. We plug in the information that we know and solve for the missing height.

(1)/(10)= (3)/(8)*h
Multiply both sides by the reciprocal of 3/8 which is 8/3 so it is canceled on the right side.

(8)/(3)*(1)/(10)= h
multiply the factions to get 8/30. 8 and 30 have common factors of 2 and can reduce to 4/15

User Riesling
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2 votes
To find the missing dimension (the height) you can use the formula A=bh and substitute and let you know. 1/10=3/8h. To find the missing factor (h) you will divide both sides by 3/8. 1/10 divided by 3/8 is the same as 1/10 x 8/3. The answer is 4/15 mile. You show this has h=4/15 mi.
User Richard Baxter
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