Question

Consider the reduction of the rectangle

Answer 1

The question is incomplete. The complete question is as follows.

Consider the reduction of the rectangle. A large rectangle has a length of 16.8 feet and width of 2.3 feet. A smaller rectangle has a length of 4.5 feet and width of x feet. Not drawn to scale (The drawing is in the attachment). Rounded to the nearest tenth.  

What is the value of x?

A. 0.1 feet

B. 0.6 feet

C. 1.6 feet

D. 2.0 feet

Answer: B. 0.6 feet

Step-by-step explanation: Two quantity are proportional if the ratio of them is constant. From the drawing and the question, we have that the two rectangles are proportional between them.

$\frac{x}{2.3} = \frac{4.5}{16.8}$

$x = \frac{4.5*2.3}{16.8}$

x = $\frac{10.35}{16.8}$

x = 0.6

The width of the smaller rectangle is 0.6 feet.