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.A small rectangle has a length of 9 meters. A larger rectangle is blank. What is the width of the original rectangle?

Answer 1

24 meters

Step-by-step explanation: For my lazy ppl its B

Answer 2

the width in the original rectangle is 24 meters.

Explanation:

We know the perimeters of both rectangles therefore we can calculate the scale in this way:

120/30 = 4

Which means that there is a 4: 1 scale between the original and the reduced rectangle.

We know that the length in the reduced rectangle is 9, therefore in the original it would be:

9 * 4 = 36

Which means that 36 meters is the length of the original rectangle. We know that the perimeter is equal to:

p = 2 * l + 2 * w

replacing:

120 = 2 * 36 + 2 * w

2 * w = 120 - 72

w = 48/2

w = 24

Which means that the width in the original rectangle is 24 meters.