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Answer: x^2+9x+8</h3>
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Explanation:
With many math problems, a good strategy is to break things down into smaller pieces. In this case, we need to find the area of each individual smaller rectangle
A = blue rectangle area = length*width = x*x = x^2
B = purple rectangle area = length*width = x*1 = x
C = green rectangle area = length*width = 8*x = 8x
D = orange rectangle area = length*width = 1*8 = 8
Add up A through D to get the overall area of the entire or largest rectangle possible
total area = A+B+C+D = x^2+x+8x+8 = x^2+9x+8
notice how x+8x turns into 9x. You can think of it as 1x+8x = (1+8)x = 9x
This is because x and 8x are like terms which can be combined. Everything else is left as is.
Because we don't know what number goes in place for x, we cannot simplify or evaluate x^2+9x+8 any further.
