Question

PQRS is a parallelogram.PM is the height from P to side SR and PN is the height from P to side QR. If side SR=12 cm and side PM=7.6 cm. Find the area of the parallelogram PQRS.

Answer 1

Hint: A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal). A quadrilateral with equal sides is called a rhombus, and a parallelogram whose angles are all right angles is called a rectangle. And, since a square is a degenerate case of a rectangle, both squares and rectangles are special types of parallelograms.

Complete Step-by-Step solution:
The area of a parallelogram is given by the formula as follows
\[=base\times height\]
(Where the base is the one which is corresponding to the perpendicular or the height)
As mentioned in the question, we have to find the area of the parallelogram given in the figure.
Now, using the formula given in the hint, we can find the area of this parallelogram as follows
\[\begin{align}
  & =base\times height \\
 & =12\times 7.6 \\
 & =91.2\ c{{m}^{2}} \\
\end{align}\]
(Using the information given in the question)
Hence, the area of the parallelogram PQRS is 91.2 sq. cm.

Note: The students can make an error if they don’t know the formula for finding the area of a parallelogram which is given in the hint as well that is as follows
The area of a parallelogram is given by the formula as follows
\[=base\times height\]