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(60 points) Q: The area of a rectangle with width x and length 6xis 6x^2. What does the coefficient 6 mean in terms of the problem?

A. the length is 6
B. the width is 6 times the length
C. the total area of the square is 6
D. the length is 6 times the width


Sagot :

Answer:

D. the length is 6 times the width

Step-by-step explanation:

The area of a rectangle is given by the formula

Area = Width x Length


If a rectangle has width x and length 6x then the area is x * 6x = 6x²

Since we have length = 6x and width = x it is clear that length = 6 times width because for any value of x which represents width the length will be 6 times that value

For example if we choose x = 10 that means width = 10 then length = 6x
= 6 x 10 = 60 which is 6 times the width