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.

Question

asked Oct 12, 2021 136k views

1 Answer

Robi · Answer 1 · 2021-10-17T10:59:31+0000

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

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
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:

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