Math, asked by sunveersavy10, 6 months ago

1 1 pol
16.The diagonals of a rhombus are
7.5cm and 12cm. Its area is *
O (a)40 square cm
(b)45 square cm
ОООО
O (c)55 square cm
(d)65 square cm​

Answers

Answered by Sen0rita
12

Given : Diagonals of a rhombus are 7.5cm and 12cm .

To Find : Area of the rhombus.

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As we know that :

 \:

\underline{\boxed{\tt\purple{\bigstar \: area \: of \: a \: rhombus \:  =  \frac{1}{2}  \times d1 \times d2}}}

 \:

Where

 \:

  • d1 denotes first diagonal i.e 7.5cm
  • d2 denotes second diagonal i.e. 12cm

 \:  \:

Put the values in the formula

 \:

\tt:\implies \: area \: of \: the \: rhombus \:  =  \dfrac{1}{2}  \times d1 \times d2 \\  \\  \\ \: \tt:\implies area \: of \: the \: rhombus \:  =  \frac{1}{2}  \times 7.5 \times 12 \\  \\  \\ \tt:\implies \: area \: of \: the \: rhombus \:  =  \frac{1}{\cancel{2}}  \times 7.5 \times \cancel12 \\  \\  \\ \tt:\implies \: area \: of \: the \: rhombus \:  = 7.5 \times 6 \\  \\  \\ \tt:\implies \: area \: of \: the \: rhombus \:  = \underline{\boxed{\tt\purple{45 {cm}^{2} }}}\bigstar \\  \\  \\ \\  \tt\therefore{\underline{Hence, \: option \: \bold{b} \: is \: correct.}}

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