Question

Lucas cut a board that was 3 1/5 in. long and 3 1/3 in. wide.

What was the area of the board?
Express your answer in simplest form.

A.15 1/5
in²

B.10 2/3
in²

C.9 2/5
in²

D.6 8/15
in²

Answer 1

\(\color {olive} {\text{First know the formula of Area of a Rectangle:}}\)
\(A=length \times width\)


\(\color {olive} {\text{Change the the given (mixed numbers) to improper fractions:}}\)
\(l=3\frac{1}{5} \rightarrow \frac{16}{5}\)
\(w=3\frac{1}{3} \rightarrow \frac{10}{3}\)

\(\color {olive} {\text{Plug in the formula the given:}}\)
\(\color {indigo} {\text{GIVEN:}}\) \(l=\frac{16}{5}\) \(w=\frac{10}{3}\)

\(\huge A=\frac{16}{5} \times \frac{10}{3}\)


\(\color {olive} {\text{Multiply the numerators and denominators:}}\)
\(\huge A=\frac{16}{5} \times \frac{10}{3} =\frac{16 \times 10}{5 \times 3}=\frac {160}{15}\)

Answer 2

well, is a board, so I assume a rectangle
thus area of a rectangle = length * width
multiply the given measures

Answer 3

\(\color {olive} {\text{Now simplify}\huge \frac{160}{15}}.\)