Answer:
The area of parallelogram ABCD is
Explanation:
Given:
AD = 12 in


To Find:
The area of parallelogram ABCD=?
Solution:
When we construct the parallelogram with the given data, we get a parallelogram formed by 12 cm as one side and an angle with 46 degrees.
The area of the parallelogram can be calculated by 
Substituting the value of a=12 we have

<u>To find the value of b,
</u>
We know that area of a triangle can be expressed as,

So,

Cancelling BD and 2 on both sides we get,


Therefore,

Substituting the value of b,

=78.42
So the area of the parallelogram is
Answer:
Store A gives $17.19 more off then Store B
Step-by-step explanation:
573.00 x 25% = 143.25
573.00-143.25 =429.75 Store A
Store B is 446.94
Answer:
Step-by-step explanation:
Givens
Area = L * w
w = x
l = x + 4
Area = 32
Solution
32 = x(x + 4)
32 = x^2 + 4x
x^2 + 4x - 32
(x + 8)(x - 4)
Only x - 4 is going to make any sense
x - 4 = 0
x = 4
The width is 4
The length is 4 + 4 = 8
4*8 = 32 which is the area.
X^2 - 7x + 12 = 0
x^2 - 4x - 3x + 12 = 0
x (x - 4) -3 ( x - 4) = 0
(x - 4) (x - 3) = 0
x = 3 , 4
Check the answer by plugging in 3 and 4 for x, if the equation equals zero then you have your answer.
Its either 3 or 2
the third way matches only if there's another reference line
I'll go with 3