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:
Perimeter of Rectangle will be 68 units.
Step-by-step explanation:
Given:
Length of side 1 = 10 units
Length of side 2 = 24 units
Length of side 3 = 26 units
Now we will check whether the triangle A is right angle triangle or not;
Now From above we can see that;
676 = 576 + 100
Hence we can say ;
By Converse of Pythagoras theorem.
"Hence When the square of the length of the hypotenuse is equal to sum of the square of other two sides we can say that triangle is a right angled triangle."
Now Given:
Ryan cut out 2 copies of triangle A and joined them together to form a rectangle.
So we can say that the hypotenuse side of the triangle will become diagonal of the rectangle and other two side will become length and width.
Now;
Length of rectangle = 24 units
Width of rectangle = 10 units.
We need to find the perimeter of rectangle.
Now Perimeter of rectangle is 2 times sum of Length and width.
framing in equation form we get;
Perimeter of rectangle =
Hence Perimeter of Rectangle will 68 units.
Answer:
The value of the first "" in the number
is ten times that of the second "
" in this number.
Step-by-step explanation:
What gives the number "" its value? Of course, each of its six digits has contributed. However, their significance are not exactly the same. For example, changing the first
to
would give
and increase the value of this number by
. On the other hand, changing the second
to
would give
, which is an increase of only
compared to the original number.
The order of these two digits matter because the number "" is written using positional notation. In this notation, the position of each digits gives the digit a unique weight. For example, in
:
.
(Note that the index starts at from the right-hand side.)
Using these weights, the value can be written as the sum:
.
As seen in this sum, the first "" contributed
to the total value, while the second "
" contributed only
.
Hence: The value of the first "" in the number
is ten times that of the second "
" in this number.