Question

This scale drawing shows a enlargement in a figure.

What is the value of x?

Enter your answer in the box.

x =
Two parallelograms. The first parallelogram has a side labeled 12 and another side labeled 16. The second parallelogram has the corresponding sides labeled x and 24, respectively.

Answer 1

• 12:16=x:24

So

`\\ \tt\hookrightarrow (12)/(16)=(x)/(24)`

`\\ \tt\hookrightarrow (3)/(4)=(x)/(24)`

`\\ \tt\hookrightarrow 4x=72`

`\\ \tt\hookrightarrow x=18`

Answer 2

• x = 18

Explanation:

The figures are similar, therefore they have equal ratio of corresponding sides:

• 12/x = 16/24
• 12/x = 2/3
• x = 12*3/2
• x = 18