Question

The area of a rhombus and parallelogram are equal and length of diagonal of rhombus are 18 cm and 15 cm. Find the area of the parallelogram.​

Answer 1

Answer:

135cm sq.

Step-by-step explanation:

area of rhombus=area of parallelogram

diagonals are 18cm and 15 cm

area of rhombus=1/2(18)(15)=135cm sq.

area of rhombus=area of parallelogram=135 cm sq.

Answer 2

$\frak{{\bigstar}\large\blue{ \underbrace{ \red{ \underline{ \green{given} :}} - }}}$

• The area of rhombus and parallelogram are equal
• Length of diagonal of rhombus are 18 cm and 15cm

$\frak{{\bigstar}\large\blue{ \underbrace{ \red{ \underline{ \green{To \: Find}}} : }} - }$

• Find the area of the parallelogram?

$\frak{{\bigstar}\large\blue{ \underbrace{ \red{ \underline{ \green{formula \: need }} : } - }}}$

• $\sf \blue{Area \: of \: rhombus = \frac{1}{2} \times d_{1} \times d_{2} }$

$\frak{{\bigstar}\large\blue{ \underbrace{ \red{ \underline{ \green{Solution }}} : }}} -$

Given that the diagonal 1 is 18 cm and diagonal 2 is 15 cm

Now using formula we get

$\sf \blue{Area \: of \: rhombus = \frac{1}{2} \times d_{1} \times d_{2} }$

Putting values in formals

$\qquad \longmapsto \sf {Area \: of \: rhombus = \frac{1}{2} \times18 \times 15 } \\ \\ \qquad \longmapsto \sf {Area \: of \: rhombus = \frac{1}{ \cancel2} \times \cancel{ 270} } \\ \\ \qquad \longmapsto \sf {Area \: of \: rhombus =135 }$

Hence the area of rhombus is 135cm²

It's is given that the parallelogram and rhombus are equal

Therefore, area of parallelogram is also 135cm²

_________________________

• d1 = length of diagonal 1
• d2 = length of diagonal 2