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23 February, 09:47

John is building a rectangular pen for his sheep. The length of the pen is 5 more than 8 times the width of the pen.

Complete an equation for the area of the pen, where wis the width of the pen.

A = 0 w2 + w

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  1. 23 February, 12:27
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    Area = w x (5 + 8 w)

    Step-by-step explanation:

    Recall the formula for the area of a rectangle: Area=with x length

    You are suggested to use "w" to represent the width of the pen.

    Now, they give you information about the length of the pen in word form.

    We are converting those words into an algebraic expression:

    "The length of the pen is 5 more than 8 times the width of the pen"

    Length = 5 + 8 w

    So we replace the length of the pen with this expression in the area formula:

    Area = w x (5 + 8 w)
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