If the area of the frame was 64inches², what would be 2 possible sets of dimensions that could be used to make a frame with that area? set 1: set 2: explain your thinking:

To resolve this exercise you have to choose two numbers that when you multiply them, you get 64:
 
 For Set 1: If you choose to make a square frame, you can calculate its dimensions by clearing the value of each sides of it from the formula of the area of a square:

 A= L²
 L= √A
 L= √64 inches²
 L= 8 inches
 
 So, you have a square frame of 8 inches x 8inches = 64 inches²

 Set 1: 8 inches x 8 inches

 For set 2, you can make a rectangular frame with the following dimensions: 16 inches x  4 inches = 64 inches²

 Set 2: 16 inches x  4 inches

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Hello!

the answer is:

the correct option:

b.

why?

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!