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
2 answers:
Answer:
Step-by-step explanation:
Given that a garden is in rectangular form
Area of the garden =
We know that area of a rectangle = length x width
Hence length x width =
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
as
Since normally length would be longer, we can say
length = x+9 and width = x-3, for x >3.
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Answer:
Step-by-step explanation:
We know that a rectangle has four sides - two lengths and two widths. We also know that the lengths are equal and that the widths are equal. Therefore, to find the perimeter of a rectangle, we use:
However, this problem asks to find the area of the rectangle. The area can be found by multiplying length and width (A = L × W).
Using our formula above, we can solve for the length.
(divide everything by 2)
(subtract W in order to solve for L)
(rearrange W to the left - standard equation notation)
The area of a rectangle is solved using the formula A = LW, so we just need to input our values and solve for A.
(distribute the W throughout)
This is your final function. Hope this helps!