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Fred is given a rectangular piece of paper. If the length of Fred's piece of paper is represented by 2x-6 and the width is represented by 3x-5, then the paper has a total area represented by what?

Answer 1

Abigail Allen

#a=6x^2-28x+30#

Let area be #a#

Area is length multiplied by width so we have:

#a=color(blue)((2x-6))color(brown)((3x-5))#

Multiply everything inside #(3x-5)# by everything inside #(2x-6)#

#color(brown)(a=color(blue)(2x)(3x-5)color(blue)(-6)(3x-5))#

#a=6x^2-10x" "-18x+30#

#a=6x^2-28x+30#

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Answer 2

Abigail Allen

To find the total area of the rectangular piece of paper, multiply its length by its width.

Given: Length = 2x - 6 Width = 3x - 5

Area = Length × Width Area = (2x - 6) × (3x - 5) Area = 6x^2 - 10x - 18x + 30 Area = 6x^2 - 28x + 30

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.