Answer:
[tex]length = \frac{25}{28} [/tex]
Step-by-step explanation:
Let the length of the rectangle be l
Area of a rectangle = length × width
From the question
Area = 25/42
width = 5/6
Substitute the values into the above formula and solve for the length
That's
[tex]length = \frac{area}{width} [/tex]
So we have
[tex]length = \frac{25}{42} \div \frac{4}{6} \\ = \frac{25}{42} \times \frac{6}{4} \\ = \frac{25}{7} \times \frac{1}{4} [/tex]
We have the final answer as
[tex] \frac{25}{28} [/tex]
Hope this helps you
