Question

number 12: big ideas 8rectangle A and rectangle B are similar. rectangle A has side lengths of 4 and 18. rectangle B has a side length of 36. what are the possible values for the length of the other side of rectangle B? select all that apply

Answer 1

Given:

Side lengths of rectangle A = 4, 18

One side side length of rectangle B = 36

Required: Possible values for the length of the other side of rectangle B

Step-by-step explanation:

If the given side length of rectangle B corresponds to the side length, 4 of rectangle A, then the factor is 36/4 = 9.

The length of the other side of rectangle B

`\begin{gathered} =18*9 \\ =162 \end{gathered}`

If the given side length of rectangle B corresponds to the side length, 18 of rectangle A, then the factor is 36/18 = 2.

The length of the other side of rectangle B

`\begin{gathered} =4*2 \\ =8 \end{gathered}`

The possible values for the length of the other side of the rectangle B are 162 and 8.

Final Answer: The possible values for the length of the other side of the rectangle B are 162 and 8.