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How do you find the height of a parallelogram with an area of $104$ square and a base of $8$ yards?

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Last updated date: 23rd Feb 2024
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IVSAT 2024
Answer
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Hint: Start by mentioning all the formulas that are necessary in these types of questions. Then next start by evaluating the area of the rectangle. Areas of a parallelogram are given by$A = b \times h$. Also, mention some properties of the parallelogram.

Complete step by step answer:
First we will start off by mentioning the formula for the area of the parallelogram, which is given by,
$A = b \times h$
where $b$ is the base of the parallelogram and $h$ is the parallelogram. Now we will evaluate the area of the parallelogram.
Area of the parallelogram is given by the formula,
$A = b \times h$
where $b$ is the base of the parallelogram and $h$ is the height of the parallelogram.
Now, we will substitute the values of the terms in the above mentioned formula,
$A = b \times h \\
\Rightarrow 104 = 8 \times h \\
\therefore h = 13 \\ $
Hence, the value of the height of the parallelogram is $13$ yards.

Additional Information:
The perimeter of a parallelogram is the total length of all the sides of the rectangle. Hence, we can evaluate the perimeter by adding all four sides of a parallelogram. Since opposite sides of a rectangle are always equal we need to evaluate only two sides to calculate the perimeter of the parallelogram. In a parallelogram opposite sides are parallel and congruent. Each diagonal bisects the parallelogram into two congruent triangles.

Note:While substituting the terms make sure you are taking into account the correct dimensions along with their units. Check if all the given terms have the same units, if not then convert all the terms to one single unit.