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Complete Question
The area A (in square feet) of the rectangular shed is given by 6x³+7x²+11x+21.And one side of the rectangular is 2x+3. Use polynomial long division to find an expression for the length (in feet) of the shed.
Answer:
3x² - x +7
Step-by-step explanation:
Using the long division method:
We have :
Divisor : 6x³+7x²+11x+21
Dividend : 2x+3
Quotient : the length (in feet) of the shed = ???
Hence, we solve below
6x³+7x²+11x+21 ÷ 2x + 3
3x² -x + 7
______________________
2x+3 l 6x³+7x²+11x+21
6x³+9x²
__________
-2x²+11x
-2x²-3x
__________
14x+21
14x+21
_______
0
Therefore, an expression for the length (in feet) of the shed is 3x² - x +7
Hello!
First, let's write the problem.

Apply the distributive property on the left side of the equation.

Add like terms.

Let's plug that in into the original equation.

Add 4 to both sides.


Divide both sides by 5.

Our final answer would be,

You can feel free to let me know if you have any questions regarding this!
Thanks!
- TetraFish
Hello!
Here we are given a composite shape, meaning that we can divide this shape up into ways that we are given formulas to solve for legs and such.
I can see here that this can be divided into a triangle and a rectangle using a horizontal line.
The leg lengths of this triangle would be 9, because it is congruent to the bottom side of the rectangle, and 7, because it is the left side minus the right side.
This would also make a right triangle, meaning we could solve for the hypotenuse utilizing the Pythagorean Theorem.





Which is in simplest radical form.
Hope this helps!
Answer:
10
or 14.14 appromiximately
Step-by-step explanation:
Area of square = 100
So length on side = 10 because all sides of square equal.
Length of Diagonal = Side x 
So the length of diagonal is 14.14 approximately
Answer:
40 yd^2
Step-by-step explanation:
Add the square at the bottom to make one large rectangle. Subtract the square not included from that area to get the figure shown (see attachment).