Question

The scale drawing below shows an enlargement by a scale factor of 2.

A trapezoid has top side length of 12, right side length of 4.5, bottom side length of 7, and left side length of question mark. A larger trapezoid has top side length of 24, right side length of 9, bottom side length of 14, and left side length of 9.

What is the missing side length in the original trapezoid?
4.5
9
13.5
18

Answer 1

Answer: it is a

Explanation:

Answer 2

4.5

Explanation:

The scale factor is 2

This means that the sides are proportional by a factor of 2.

In other words, you multiply 2 with the side lengths of first trapezoid to get the side length of second trapezoid.

You can see the pattern:

12 goes with 24

4.5 goes with 9

7 goes with 14

X goes with 9

The "X" is the missing side.

As you can see, we multiply each number on the left-hand side by 2 to get the number on the right-hand side (larger trapezoid).

So, that means:

X multiplied by "2" will gives us 9, we can write:

`x*2=9\\`

Complete the equation and find x:

`x*2=9\\2x=9\\x=(9)/(2)\\x=4.5`

The missing side length in the original trapezoid is "4.5"