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The perimeter is 550 yards , the length is 5 yards less than quadruple the width, what is the length and width, show work

Sagot :

Let's use the variable x to represent the width of the yard.

If the length is 5 yards less than quadruple the width, the length is represented by 4x - 5.

Then, if the perimeter is 550 yards, we have:

[tex]\begin{gathered} P=2w+2l \\ P=2x+2\cdot(4x-5) \\ 550=2x+8x-10 \\ 10x-10=550 \\ 10x=560 \\ x=\frac{560}{10} \\ x=56 \\ \\ 4x-5=4\cdot56-5=224-5=219 \end{gathered}[/tex]

So the width is 56 yards and the length is 219 yards.

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