Question

A poster is 1 3/5feet wide and 3 1/8feet long. What is the area of the poster?

5 sq. ft.
3 3/40sq. ft.
64/125 sq. ft.
1/5sq. ft.

Answer 1

To find the area of the poster, we use the formula for the area of a rectangle, which is width × length.

First, we need to convert the mixed numbers to improper fractions:

1. Convert 1 3/5 feet:
\[
1 \frac{3}{5} = \frac{5 \times 1 + 3}{5} = \frac{5 + 3}{5} = \frac{8}{5}
\]

2. Convert 3 1/8 feet:
\[
3 \frac{1}{8} = \frac{8 \times 3 + 1}{8} = \frac{24 + 1}{8} = \frac{25}{8}
\]

Now, we can multiply these two fractions together to find the area of the poster:

\[
\text{Area} = \left(\frac{8}{5}\right) \times \left(\frac{25}{8}\right)
\]

Multiply the numerators and the denominators:

\[
\text{Area} = \frac{8 \times 25}{5 \times 8} = \frac{200}{40}
\]

Simplifying this gives:

\[
\text{Area} = \frac{200}{40} = 5 \text{ sq. ft.}
\]

Thus, the area of the poster is \( \boxed{5} \) sq. ft.