Question

The perimeter of the original rectangle is 16 feet. A small rectangle has a length of 6. 2 feet and width of 1. 8 feet. A larger rectangle has a length of 12. 4 feet and width of blank. Not drawn to scale What is the perimeter of the enlarged rectangle? Round to the nearest tenth if necessary. 22. 3 feet 31 feet 32 feet 42. 7 feet.

Answer 1

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,

$P_s=6.2+1.8\\P_s=8\rm\; ft$

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,

$r=\dfrac{12.4}{6.2}\\r=2$

The perimeter of the original rectangle is 16 feet and scale factor is 2. Thus, the perimeter of the enlarged rectangle is,

$P_l=2\times16\\P_l=32\rm\; ft$

The small rectangle has width of 1.8 feet and scale factor is 2. Thus, the width of the larger rectangle is,

$w_l=1.8\times2\\w_1=3.6\rm\; ft$

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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