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sertanlavr [38]
2 years ago
6

Find the area of the parallelogram below.

Mathematics
2 answers:
V125BC [204]2 years ago
8 0

The formula for finding the area of a parallelogram is Base x height

A = Bh

In this case the base (the longest side) is 8 cm and the height (distance between the obtuse angle and the base) is 5 cm

A = 8 * 5

A = 40 cm²

Hope this helps!

~Just a girl in love with Shawn Mendes

VLD [36.1K]2 years ago
6 0

Answer: 40cm²

The formula is Base × Height. We can find the area if we multiply the Base and Height.

A = Bh

As for that, the Base is the upper length, which is 8 and the height is the obtuse angle inside the parallelogram, which is 5.

Since we got our lengths, we can solve.

Remember how I said the formula is A = Bh. (Area = Base × Height)

So, we can multiply 8 by 5 to get the area.

8 times 5 will equal 40.

Hence, 40cm² is the answer.

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Help please!!!!!!!!!
In-s [12.5K]

ANSWER

24


EXPLANATION

For a matrix A of order n×n, the cofactor C_{ij} of element a_{ij} is defined to be


   C_{ij} = (-1)^{i+j} M_{ij}


M_{ij} is the minor of element a_{ij} equal to the determinant of the matrix we get by taking matrix A and deleting row i and column j.


Here, we have


   C_{11} = (-1)^{1+1} M_{11} = M_{11}


M₁₁ is the determinant of the matrix that is matrix A with row 1 and column 1 removed. The bold entries are the row and the column we delete.


   \begin{aligned} A=\begin{bmatrix} \bf 1 & \bf -6 & \bf -4\\ \bf 7 & 0 & -3 \\ \bf -9 & 8 & -8 \end{bmatrix} \implies M_{11} &= \text{det}\left(\begin{bmatrix} 0&-3 \\ 8&-8 \end{bmatrix} \right)  \end{aligned}


Since the determinant of a 2×2 matrix is


   \det\left(  \begin{bmatrix} a & b \\ c& d  \end{bmatrix} \right) = ad-bc


it follows that


   \begin{aligned} A=\begin{bmatrix} \bf 1 & \bf -6 & \bf -4\\ \bf 7 & 0 & -3 \\ \bf -9 & 8 & -8 \end{bmatrix} \implies M_{11} &= \text{det}\left(\begin{bmatrix} 0&-3 \\ 8&-8 \end{bmatrix} \right) \\ &= (0)(-8) - (-3)(8) \\ &= -(-24) \\ &= 24 \end{aligned}


so C_{11} = M_{11} = 24

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