Gayla draws a rectangle. Jared then draws a different rectangle by increasing both the length and the width by 5%. Lyda draws a third rectangle by increasing both the length and the width of Gayla’s by 5 inches. Are any of the resulting rectangles scale drawings of one another? List whose rectangles, if any, and explain how you know..

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Step-by-step explanation:

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb