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The formula for the area \( A \) of a rectangle with length \( / \) and width \( w \) is \( A=l \cdot w \). Find \( A \) if: \( I=\frac{9}{8} \) inch and \( w=\frac{9}{5} \) inch The area is square inches.

Ask by Wells Perkins. in the United States
Feb 27,2025

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The area is \( \frac{81}{40} \) square inches.

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To find the area \( A \) of the rectangle, we will use the formula \( A = l \cdot w \). Plugging in the values you've provided, \( l = \frac{9}{8} \) inch and \( w = \frac{9}{5} \) inch: \[ A = \frac{9}{8} \cdot \frac{9}{5} = \frac{81}{40} \text{ square inches.} \] Now, isn't that neat? \( \frac{81}{40} \) can also be converted into a mixed number (if desired) — that's 2.025 square inches if you're feeling really curious about decimals! Also, don't forget that when dealing with fractions during multiplication, it’s always easiest to multiply straight across. Just remember to simplify wherever you can to make it easier on yourself. In this case, everything was already nicely simplified!

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