Question

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?

Answer 1

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 2

Width of the original rectangle is
`24 \\` meters

Explanation:

Perimeter of reduced rectangle
`= 30\\` meters

Reduced length
`= 9 \\` meters

Reduced perimeter is equal to

`2 ( Reduced width) + 2 (reduced length) \\2 (w) + 2 (l) = 30\\2 (w) + 2 (9) = 30\\w = 6\\`

The factor of reduction of perimeter of original rectangle

`= (30)/(120) \\= (1)/(4) \\`

Width of reduced rectangle will be equal to
`(1)/(4) \\` the width of original rectangle

`w = (1)/(4) * W\\6 = (1)/(4) * W\\\\W = 24 \\`