Question

A rectangular farm has an area of 1/5 square miles. If its length is 2/3 miles, what is its width? Input your answer as a fraction.

Answer 1

`\huge\boxed{(3)/(10)\ \text{miles}}`

Hey! Let's start off with the equation for the area of a rectangle:

`A=lw`

Subsitute in the values we already know:

`(1)/(5)=(2)/(3)w`

To find the width, we need to isolate
`w` on one side of the equals sign. We can do this by dividing both sides of the equation by
`(2)/(3)`:

`(1)/(5)/(2)/(3)=w`

To divide fractions, multiply the dividend by the divisor's reciprocal (flip the numbers) and simplify:

`\begin{aligned}(1)/(5)*(3)/(2)&=w\\(1*3)/(5*2)&=w\\(3)/(10)&=w\\w&=\boxed{(3)/(10)}\end{aligned}`