Question

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

Answer 1

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

Step-by-step 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 :-

$k=\frac{\text{Width of big rectangle}}{\text{Width of small rectangle}}\\\\\Rightarrow\ k=\frac{5}{2}$

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

$x=k\times(\text{length of small rectangle})\\\\\Rightarrow\ x=\frac{5}{2}\times12\\\\\Rightarrow\ x=30\ ft$

Answer 2

30 ft is the answer for this problem