nataliebeck5558
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Bobby knows that the perimeter of the original rectangle is 120 meters. He also knows that the perimeter of the reduced rectangle is 30 meters and the reduced length is 9 meters.
Not drawn to scale What is the width of the original rectangle?

Respuesta :

dpokharnaotzjgn
Ok so here we can start of by finding the ratio of the original to the reduced which is 4:1. Then we can find out the width of the reduced which is 6. Finally, all you have to do is multiply 6 by 4 and you get the answer which is 24.

Answer:

Width of the original rectangle is [tex]24 \\[/tex] meters

Step-by-step explanation:

Perimeter of reduced rectangle [tex]= 30\\[/tex] meters

Reduced length [tex]= 9 \\[/tex] meters

Reduced perimeter is equal to

[tex]2 ( Reduced width) + 2 (reduced length) \\2 (w) + 2 (l) = 30\\2 (w) + 2 (9) = 30\\w = 6\\[/tex]

The factor of reduction of perimeter of original rectangle

[tex]= \frac{30}{120} \\= \frac{1}{4} \\[/tex]

Width of reduced rectangle will be equal to [tex]\frac{1}{4} \\[/tex] the width of original rectangle

[tex]w = \frac{1}{4} * W\\6 = \frac{1}{4} * W\\\\W = 24 \\[/tex]

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