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Mathematics

1 answer:

lana66690 [7]3 years ago

7 0

Answer:

5x^2 +10x

Step-by-step explanation:

The area is the product of the height and width. For this exercise, it is convenient to compute the rectangle areas individually, then write their sum:

blue rectangle area = (5x)(x) = 5x^2

red rectangle area = (5x)(2) = 10x

Total area = 5x^2 +10x.

_____

If you start by writing an expression for the total area, expanding it requires you deal with the unlike terms separately anyway:

5x(x +2) = 5x(x) +5x(2) = 5x^2 +10x

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Representing the problem in a diagram, we have

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