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a rectangle is 6 times as long as it is wide. the perimeter is 140 cm. find the area of the rectangle. round to the nearest tenth if necessary.

Respuesta :

Answer: [tex]w = 10[/tex]

Step-by-step explanation:

Our perimeter will be 140 cm and our width of the rectangle will be 6w. We will then divide 14w and 140 by 14 so we can get w by itself. Then, we will divide the perimeter by the width.

Step 1: Let 6w will be our length and let the perimeter be 140 cm.

[tex]6w, P = 140 cm[/tex]

Step 2: Perimeter means that you add up all the 4 sides of the rectangle.

[tex]P = 140 = w + w + 6w + 6w = 14w[/tex]

[tex]P = 140, 14w[/tex]

Step 3: Divide both sides 14 to get the single w variable.

[tex]\frac{140}{14} = \frac{14w}{14}[/tex]

Step 4: Simplify.

[tex]10 = w[/tex]

Step 5: Flip sides.

[tex]w = 10[/tex]

~I hope I helped you :)~

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