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Mathematics 23 Online
BigE21:

The length of rectangle M is 5 inches less than 8 times its width, w. Both the length and width of rectangle M are increased by (w + 5) to create rectangle P. How much larger is the area of rectangle P than the area of rectangle M?

AZ:

So first let's try to figure out how to write the sentence as an equation (in terms of letters and numbers) `The length of rectangle M is 5 inches less than 8 times its width, w` So for length we can use L when you see the word `is` think of `=` so we have L = 5 inches less than 8 times the width or w what is 8 times the width? is that multiplication or division or addition or subtraction?

BigE21:

Multiplication

AZ:

Good so how would you write 8 times w? 8w or 8/w 8 + w 8 - w

BigE21:

8w

AZ:

good so now we have L = 5 inches less than 8w now the `less than` part would that be subtraction, addition, multiplication or division?

KazGotFetee:

Would that be Subtraction?

AZ:

Yes, but let's let the person who asked the question answer :)

KazGotFetee:

ok :)

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