Question

the side of a rhombus is 7.2cm it's altitude is 5cm find it's area​

Answer 1

Given

• Side of the rhombus is 7.2 cm
• Altitude of the rhombus is 5 cm

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To Find

• The area of the rhombus

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Solution

Area of rhombus → Base × Altitude

Base → 7.2 cm

Altitude → 5 cm

Area of Given Rhombus → 7.2 × 5

Area of Given Rhombus → 36 cm²

∴ The area of the given rhombus is 36 cm²

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Additional Information

• A quadrilateral is a closed polygon with 4 sides.
• The interior angle of the quadrilateral always sums upto 360°
• Examples of some common quadrilaterals are → Square, Rectangle, Parallelogram, Kite, Rhombus, Trapezium, etc.
• Area of Square → (Side)²
• Area of Rectangle → Length × Breadth
• Area of Parallelogram → Base × Height
• Area of Trapezium → $\sf \dfrac{( Side_{1} + Side_{2})}{2} \times Height$
• Area of Kite → $\sf \dfrac{Diagonal_{1} \times Diagonal_{2}}{2}$
• Area of Rhombus → $\sf \dfrac{Diagonal_{1} \times Diagonal_{2}}{2}$

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Answer 2

$\begin{gathered}\qquad\qquad{\underline{\underline{\frak{\pink{correct \: \;question\;:}}}}}\\ \\\end{gathered}$

The side of a rhombus is 7.2cm its altitude is 5cm find its area .

$\begin{gathered}\qquad\qquad{\underline{\underline{\frak{\red{Required\;Answer\;:}}}}}\\ \\\end{gathered}$

It is given that the side of a rhombus is 7.2cm its altitude is 5cm .

Now here , we need to find the area . In order to find area we will put the formula.

Given :

Side of rhombus - 7.2cm

Altitude (height) = 5cm

To find :

Area of rhombus ?

Answer:

By putting formula :

$\begin{gathered}\qquad\qquad{\underline{\underline{\frak{\purple{area \: of \: rhombus \: = base \times height \: \;}}}}}\\ \\\end{gathered}$

Substitute the given values in order,

$\begin{gathered}\qquad\qquad{\underline{\underline{\frak{\purple{area \: of \: rhombus \: = 7.2 \times 5 \;}}}}}\\ \\\end{gathered}$

$\begin{gathered}\qquad\qquad{\underline{\underline{\frak{\purple{area \: of \: rhombus = 36 \: sq.cm\;}}}}}\\ \\\end{gathered}$

∴ Area of rhombus = 36sq.cm

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$\dagger \underline{\large \: \: {\frak{Points \: to \: remember : }}}$

What is a Quadrilateral?

• A quadrilateral is a figure which has 4 angles , 4 sides and two diagonals.
• There are total 10 elements in a quadrilateral.
• We can even construct any quadrilateral if we want to , but we should know 5 elements out of 10.

Quadrilateral : Rhombus .

Rhombus is a quadrilateral

Rhombus :

• If all the sides of a quadrilateral are of equal length (Congruent) , it is called a Rhombus .
• Opposite sides of Rhombus are congruent.
• Diagonals bisect opposite angles of Rhombus.
• In rhombus diagonals bisect each other and they are perpendicular to each other.

Some other basic quadrilaterals :

Quadrilateral Square :

Square is a quadrilateral

Square :

• If all sides and all angles of a quadrilateral are congruent , it is called a square.
• Diagonals are of equal length. That is they are congruent.
• Diagonals bisects each other.
• Diagonals are perpendicular to each other.
• Diagonals bisects the opposite angles .

Quadrilateral Rectangle:

Rectangle is a quadrilateral

Rectangle:

• If all angles of a quadrilateral are right angles ,it is called a rectangle.
• Opposite sides of a rectangle are congruent.
• Diagonals of a rectangle are congruent .
• Diagonals of a rectangle bisect each other.