Octagon A has a side length of 4 inches, and an area of 32 square inches. Octagon B is similar to octagon A, and has a corresponding side length of 8 inches. What is the area of octagon B? Write your answer as a number.

  128 square inches

Step-by-step explanation:

The scale factor for area is the square of the scale factor for side length. The larger octagon has an area of ...

  (8/4)²(32 in²) = 4·32 in² = 128 in²

The area of octagon B is 128 square inches.

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: