Question

The small rectangle was enlarged to create the big rectangle. What is the missing measure on the big rectangle?

Answer 1

30 ft is the answer for this problem

Answer 2

Answer: The missing measure on the big rectangle = 30 ft.

Explanation:

Given: The small rectangle was enlarged or dilated to create the big rectangle.

The dimensions of the small rectangle is 2 ft buy 12 ft.

Since we know that the scale factor of dilation is the ratio of the corresponding sides of the image to the pre-image

The scale factor (k) of dilation is given by :-

`k=\frac{\text{Width of big rectangle}}{\text{Width of small rectangle}}\\\\\Rightarrow\ k=(5)/(2)`

Now, the length of the big rectangle is given by :-

`x=k*(\text{length of small rectangle})\\\\\Rightarrow\ x=(5)/(2)*12\\\\\Rightarrow\ x=30\ ft`