Question

What is the area of a piece of plywood measuring 2 feet 8 inches long by 2 feet 4 inches wide? Give your answer in square inches.

Answer 1

First you convert 2ft into inches and that is 24in so (24+4)•(24+8)

28•32=896sqr in

Answer 2

896 square inches.

Explanation:

The area of a rectangle its given by the length multiplied by the width.

This particle rectangle has:

lenght = 2 feet 8 inches

width = 2 feet 4 inches

We could just multiplied this two values, but that will mess up our units. First, we need to convert it to just one unit of distance. As the problem ask for the answer in square inches, we will convert the feet into inches.

The conversion equation its:

1 feet = 12 inches

If we got 2 feet...

`2 \ feet = 2 \ feet * (12 \ inches)/(1 \ feet) = 24 \ inches`

So, our lenght and width, in inches, will be:

lenght = 24 inches + 8 inches = 32 inches

width = 24 inches + 4 inches = 28 inches

Now, area = lenght * width:

`area \ = \ lenght \ * \ widht \`

`area \ = \ 32 \ inches \ * \ 28 \ inches \`

`area \ = \ 896 \ inches^2`

The area of the piece of plywood its 896 square inches.