Question

What represent the area of the rectangle in cm^2??

Answer 1

Answer: D) 3x^2 + 15

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Step-by-step explanation:

Draw a horizontal line to divide the rectangle into two parts (they don't necessarily have to be equal parts). Refer to the diagram below. The upper rectangle is x by 3x. So its area is length*width = x*3x = 3x^2

The lower rectangle is 5 by 3x, so its area is 5*3x = 15x

Combine those two sub-areas back together to get the overall area of 3x^2 + 15x

You could also use the distribution rule

3x*(x+5) = 3x*(x) + 3x*(5) = 3x^2 + 15x

Answer 2

9514 1404 393

Answer:

d. 3x² +15x

Step-by-step explanation:

The area is the product of length and width.

A = LW

A = (3x)(x+5) = 3x(x) +3x(5) . . . . use the distributive property

A = 3x² +15x