Question

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Answer 1

$\huge \bf{ \red{ \mid{ \overline{ \underline{ANSWER}}} \mid}}$

$\Large \underline{\textbf{Given That}}$

$\textsf{The Diagonals of Rhombus are 7.5cm and 12cm And now we need to find the area}$

$\textsf{Now let's move for solution}$

$\Large \underline{\textbf{Solution}}$

Now We Know That

$\underline{\textbf{Formulas To Find Area Of Rhombus}}$

$\underline{\textsf{Formula 1 :-)}}$

$\textsf{Since Rhombus Is considered as a Parallelogram , we can have a formula to find its area as }$

$\boxed{\mathsf{Area \: of \: rhombus \: = \: Base \: \times \: Height}}$

$\underline{\textsf{Formula 2 )}}$

$\textsf{With Help of Diagonal Area of Rhombus =}$

$\boxed{\mathsf{Area\:of \: Rhombus \: = \: \displaystyle \frac{1}{2} (D_{1} \times D_{2} )}}$

$\textsf{Now since as per Question we have the value of two Diagonals of Rhombus}$

$\textsf{So the formula that we need to use here is the Formula - 2 }$

$\underline{\textsf{ Finding area with help of Formula -2 }}$

$\textsf{So Let - }$

$\sf{First \:Diagonal\: ( D_{1} )\:=\: 7.5cm}$

$\sf{Second \:Diagonal\: ( D_{2} )\:=\: 12cm}$

$\textsf{Now Putting this values in the above formula we have -}$

$\mathsf{Area \: of \: Rhombus \: =\: \dfrac{7.5cm \times 12cm}{2}}$

$\mathsf{\implies \: \dfrac{90{cm}^{2}}{2}}$

$\mathsf{\implies \: 45\: cm^2 }$

$\underline{\textbf{Hence We Have --}}$

$\boxed{\mathbf{Area\:of\: Rhombus\: = 45\:{cm}^{2}}}$

Answer 2

According to the diagonal formula
1/2*(d *d2)
7.5*12/2

=45cm*cm

HOPE IT HELPS YOU ❣️