Answer:
The answer is 32.
Step-by-step explanation:
Just multiply the height by the base length. 4*8=32
1. Let x be a length of square side, then the square perimeter is 4x (you need to cut 4x from 16 in. to make a square with side x in.). Then 16-4x is remained length of wire and you have to make form this piece a rectangle with sides one of which is twice bigger than another. If y is length of the smaller side, then 2y is length of the bigger side and rectangle perimeter is y+2y+y+2y=6y. You have 16-4x in. of wire left, so 6y=16-4x and

.
2.

.
3. Find the derivative of the function A(x):

.
4. Solve the equation A'(x)=0:

5. Since

you have

.
Answer: <span>the width of the rectangle is

</span>
The number of ways to choose the colors is 36
<h3>How to determine the number of ways?</h3>
The given parameters are:
Colors = 9
Colors to choose = 7
Since order does not matter, then it is combination
This is calculated using:

This gives

Evaluate

Hence, the number of ways is 36
Read more about combination at:
brainly.com/question/11732255
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Answer:
Step-by-step explanation:
4