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neonofarm [45]
3 years ago
14

The area of a rectangular garden is given by the trinomial x^2+6x-27. what are the possible dimensions of the rectangle? use fac

toring
Mathematics
2 answers:
snow_tiger [21]3 years ago
6 0
A = x^2 + 6x - 27 A = x^2 + 9x - 3x - 27 A = x(x+9)-3(x+9) A = (x+9)(x-3) A = lw l = (x+9) w =(x-3)
nikitadnepr [17]3 years ago
4 0

Answer:

Step-by-step explanation:

Given that a garden is in rectangular form

Area of the garden = x^2+6x-27

We know that area of a rectangle = length x width

Hence length x width = x^2+6x-27

There can be infinite number of answers for this equation.

Let us assume that both length and width are rational.

Then the factors would be answers.

Factorise

x^2+6x-27 as

(x+9)(x-3)

Since normally length would be longer, we can say

length = x+9 and width = x-3, for x >3.

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