Question

PQRS is a rhombus. If it is given that PQ = 3 cm and the height of the rhombus is 2.5 cm, calculate the area of the rhombus.

Answer 1

Hint: Before solving this question let us firstly know about polygons, quadrilaterals and rhombus.
A Polygon is a plane shape with 2 dimensions and straight sides. Polygon can take any shape. A quadrilateral is any polygon that has four sides is called a quadrilateral. A rhombus is a 2 – dimensional shape with 4 straight sides that are all equal length. Also, the opposite sides of a rhombus are parallel and its opposite angles are also equal.

Complete step-by-step answer:
Let us now know about the formula that is used to calculate the area of rhombus.
AREA OF RHOMBUS: \[Base\times Height\]
So, we will just put the lengths of the base and height of the rhombus in the formula and the answer will be obtained.

Let us now solve this question.
We shall now calculate the area of the rhombus PQRS.

We know that the formula to calculate the area of a rhombus is \[Base\times Height\] , as it is mentioned in the hint provided above.
Height of rhombus PQRS = 2.5 cm
Length of the base of the rhombus PQRS = 3 cm
Area of the rhombus PQRS = \[\left( 2.5\times 3 \right)\] $c{{m}^{2}}$
= 7.5 $c{{m}^{2}}$
Therefore, the area of the rhombus PQRS is 7.5 $c{{m}^{2}}$.
Hence, the answer of this question is 7.5 $c{{m}^{2}}$.

Note: One must remember the formulas to calculate the areas of different 2 – dimensional shapes such as area of square is \[Side\times Side\] , area of rectangle is \[Length\times Breadth\] , area of circle is \[\pi {{r}^{2}}\], area of triangle is \[\dfrac{1}{2}\times Base\times Height\] and area of rhombus is \[Base\times Height\] . Try to avoid calculation mistakes.