Question

Find the area and perimeter of the given figure.

Answer 1

Hint:A parallelogram is a quadrilateral with opposite sides (both the pairs) parallel to each other and a parallelogram with equal opposite sides is called a rectangle. Use the formulae for the area and perimeter of a rectangle to calculate them.

Formula used:
$A=lb$
$P=2(l+b)$
where A is area and P is perimeter of a rectangle. l and b are the length and breadth of the rectangle.

Complete step by step answer:
We can see that in both the pairs of opposite sides of the given figure, the opposite sides are parallel to each other. We know that a parallelogram is a quadrilateral with opposite sides (both the pairs) parallel to each other. This means that the given figure is a parallelogram.We can also see that the opposite sides are equal in lengths, i.e. 3 cm and 4 cm.

And we know that a parallelogram with equal opposite sides is called a rectangle. This means that the given figure is a rectangle. Let us now find the area and the perimeter of the rectangle.
The area of a rectangle is equal to $A=lb$.
Here, it is given that $l=4cm$ and $b=3cm$
Therefore, $A=lb=4\times 3=12c{{m}^{2}}$.
This means that the area of the given rectangle is equal to $12c{{m}^{2}}$.
The perimeter of a rectangle is equal to $P=2(l+b)$.
Therefore, $P=2(4+3)=2(7)=14cm$.
This means that the perimeter of the given rectangle is equal to 14cm.

Hence, the area and perimeter of the given figure are $12c{{m}^{2}}$ and $14\,cm$.

Note:Actually, we do not even need the formulae to calculate the area and the perimeter of the given rectangle. We can see that the rectangle is made up of squares with each side equal to 1cm. The area of one such square is equal to 1 square cm. Therefore, we can count the number of squares inside the rectangle to find the area of the rectangle.