Question

Jack lived on a farm and has a large backyard. the area of the rectangular backyard is 2/3 of a square mile. If the width of the yard is 3/4 of a mile, what fraction of a mile is the length of the rectangular backyard?

Answer 1

Answer: $\dfrac{8}{9}$

Step-by-step explanation:

Formula we use here:

$\text{Length}=\dfrac{\text{Area}}{\text{width}}$

Given : Jack lived on a farm and has a large backyard.

The area of the rectangular backyard is $\dfrac{2}{3}$  of a square mile.

If the width of the yard is $\dfrac{3}{4}$ of a mile, then the length of width will be :-

$\text{Length}=\dfrac{\dfrac{2}{3}}{\dfrac{3}{4}}\\\\=\dfrac{2}{3}\times\dfrac{4}{3}=\dfrac{8}{9}$

Hence, the fraction of a mile is the length of the rectangular backyard= $\dfrac{8}{9}$