Respuesta :
The perimeter of the enlarged rectangle is 32 ft and the width of the larger rectangle is 3.6 ft.
What is perimeter of plane?
The measure of the boundary of a plane or shape is called its perimeter. The perimeter of a plane or shape is the sum of all the sides.
A small rectangle has a length of 6.2 feet and width of 1.8 feet. The parameter of this triangle is,
[tex]P_s=6.2+1.8\\P_s=8\rm\; ft[/tex]
The small rectangle has a length of 6.2 and the larger rectangle has a length of 12.4 feet. Thus the scale factor of enlargement is,
[tex]r=\dfrac{12.4}{6.2}\\r=2[/tex]
The perimeter of the original rectangle is 16 feet and scale factor is 2. Thus, the perimeter of the enlarged rectangle is,
[tex]P_l=2\times16\\P_l=32\rm\; ft[/tex]
The small rectangle has width of 1.8 feet and scale factor is 2. Thus, the width of the larger rectangle is,
[tex]w_l=1.8\times2\\w_1=3.6\rm\; ft[/tex]
Hence, the perimeter of the enlarged rectangle is 32 ft and the width of the larger rectangle is 3.6 ft.
Learn more about the perimeter of plane here;
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