Respuesta :
Answer:
5 meters
Step-by-step explanation:
If the perimeter of the rectangle on the right is 24 m, and the length is 8, the width has to be 4, since 8+4+8+4=24. Since the scale factor is 24÷30=0.8 or 4/5, and the width of the rectangle on the right is 4, 4÷0.8=5, which is the width of the rectangle on the left.
Hope this helps! (P.S. I got it right on Edgenutiy, spelled wrong on purpose).
The width of the original rectangle is 5m.
What is perimeter?
The perimeter of a shape can be described as the path or boundary that surrounds it .
Perimeter of Rectangle = 2 (L + B)
L = length of rectangle
B = breadth of rectangle
Perimeter of the reduced rectangle = 24m
Let the length of original rectangle be L1
Let the breadth of original rectangle be B1
Let L1 = 8m, B1 = 4m
P = 2( L1 + B1) = 2(8 + 4) = 24m
Scale factor = P(Original Rectangle) / P(reduced rectangle)
Scale factor = 30 / 24 = 1.25
So, width of original rectangle = Scale factor * reduced width
Width of original rectangle = 1.25 * 4 = 5m
Hence, the width of the original rectangle is 5m.
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