Answer:
the width in the original rectangle is 24 meters.
Step-by-step 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.
