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Yuki888 [10]
2 years ago
8

The area of a rectangle is (27x5 + 9x4 - 18x3) square feet. The width of the rectangle is 9x2 feet. What is the length of the re

ctangle?
DO NOT INCLUDE PARENTHESIS IN YOUR ANSWER
Mathematics
2 answers:
Yuliya22 [10]2 years ago
8 0
If the width is 9x², then the length is 27x^5+9x^4-18x^3/9x², which equals 3x³+x²+2x. ☺☺☺☺
Usimov [2.4K]2 years ago
5 0

Answer:

The length of the rectangle is given by 3x^3+x^2-2x

Step-by-step explanation:

We have been given that

area of rectangle is A=27x^5 + 9x^4 - 18x^3

The width of the rectangle is w=9x^2

We know the area of rectangle is given by

A=lw\\\\l=\frac{A}{w}

On substituting the known values, we get

l=\frac{27x^5 + 9x^4 - 18x^3}{9x^2}

On simplifying this, we get

l=\frac{27x^5}{9x^2} +\frac{9x^4}{9x^2} -\frac{18x^3}{9x^2} \\\\l=3x^3+x^2-2x

Therefore, the length of the rectangle is given by 3x^3+x^2-2x

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