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

$\huge\boxed{\frac{3}{10}\ \text{miles}}$

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

$A=lw$

Subsitute in the values we already know:

$\dfrac{1}{5}=\dfrac{2}{3}w$

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 $\frac{2}{3}$:

$\dfrac{1}{5}\div\dfrac{2}{3}=w$

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

$\begin{aligned}\frac{1}{5}*\frac{3}{2}&=w\\\frac{1*3}{5*2}&=w\\\frac{3}{10}&=w\\w&=\boxed{\frac{3}{10}}\end{aligned}$