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Sunday, November 20, 2011

Jayvee's Textbook Question 2.4

2.4 #16 letter B

The label on a 1-L can of paint states that the paint will cover an area of 10m^2. What is the side length of the largest square area that a 3.79-L can of the same paint will cover? Express your answer to the nearest hundredth of a meter.

First, I have to find the side length of the largest square area that a 1-L can of paint can cover.

It says that 1-L can of paint can cover an area of 10m^2 so I will find the square root of 10m.
I found out that the square root of 10 is 3.1622776601 by using a calculator. Then I have to round to the nearest hundredth of a meter and I got 3.16m.
That means the side length of the largest square area that a 1-L can of paint can cover 3.16m.

For question B, I have to do the same thing.
First I multiplied 3.79 by 10 to get 37.9.
Then I have to find the square root of 37.9 to find the side length of the largest square area.
I found out that the square root of 37.9 is 6.15629758864. Round this to the nearest hundredth of a meter and got 6.16m.

The side length of the largest square are that a 3.79-L can of paint can cover is 6.16m.

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