Question

I will like who will give right answer



options
(1) 20cm²
(2) 5cm²
(3) 10cm²
(4) 15cm²​

Answer 1

Given : Sum of parallel sides is 10 cm and distance between them is 2 cm .

To Find : Find the Area of Parallelogram

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SolutioN : For Calculating the Area we need to apply the formula for Area of Parallelogram . Let's Solve :

$\maltese$ Formula Used :

• ${\underline{\boxed{\pmb{\sf{ Area{\small_{(Parallelogram)}} = \dfrac{1}{2} \times \bigg( a + b \bigg) \times h }}}}}$

Where :

• a = 1st Parallel Side
• b = 2nd Parallel Side
• h = Height

$\maltese$ Calculating the Area :

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Area = \dfrac{1}{2} \times \bigg( a + b \bigg) \times h } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Area = \dfrac{1}{2} \times 10 \times 2 } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Area = \dfrac{1}{2} \times 20 } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Area = \dfrac{20}{2} } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Area = \cancel\dfrac{20}{2} } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; {\underline{\boxed{\pmb{\sf{ Area = 10 \; {cm}^{2} }}}}} \; {\purple{\bigstar}} \\ \\ \\ \end{gathered}$

$\therefore \;$ 3rd option is Correct .

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