Respuesta :

Stephen46

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

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