Question

Louise has a television in her family room that is 3 feet wide and 5 feet long. She has a television that is similar in shape in her bedroom that is 1.5 feet long. What is the perimeter of the television in Louise's bedroom?

Answer 1

Answer:

The perimeter of the TV = 8 feet

Step-by-step explanation:

The keywords in this question are "similar in shape". This means that the dimensions of the two TVs are equivalent, but they are not the same.

TV in family room = 3 feet wide, 5 feet long = 3/5

TV in bedroom = 1.5 feet wide, x feet long = 1.5/x

Since the TVs are similar:

$\frac{3}{5} = \frac{1.5}{x} \\cross-multiplying:\\3 \times x = 5 \times 1.5\\3x = 7.5\\x = \frac{7.5}{3} \\x = 2.5\ feet$

Therefore the TV in bedroom is 1.5 feet long and 2.5 feet wide.

Perimeter of a TV = perimeter of a rectangle

Perimeter of a rectangle = (2 × Length) + (2 × width)

Perimeter = ( 2 × 1.5) + ( 2 × 2.5)

= 3 + 5 = 8 feet