Answer:
TU ≈ 12.96
Step-by-step explanation:
Using the Altitude on Hypotenuse theorem
(leg of outer triangle)² = (part of hypotenuse below it) × (whole hypotenuse)
TU² = UV × SU = 6 × 28 = 168 ( take square root of both sides )
TU = ≈ 12.96 ( to the nearest hundredth )
The perimeter of the enlarged rectangle is 32 ft and the width of the larger rectangle is 3.6 ft.
<h3>What is perimeter of plane?</h3>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,
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,
The perimeter of the original rectangle is 16 feet and scale factor is 2. Thus, the perimeter of the enlarged rectangle is,
The small rectangle has width of 1.8 feet and scale factor is 2. Thus, the width of the larger rectangle is,
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;