Question

B. The area of a trapezium is 48 sq. cm and the length of one of the parallel sides is 14 cm and
it's height is 4 cm. Find the length of the other parallel side. ​

Answer 1

Given :-

• Area of Trapezium = 48cm²
• Length of first parallel side = 14cm
• Height of the Trapezium = 4cm

To Find :-

• Length of the Other parallel side .

Solution :-

${:} \longrightarrow \sf{\sf{Area \: of \: Trapezium \: = \: \dfrac{1}{2}\: \times \: Height \: \times \: Sum \: of \: parallel \: sides }}\\\\ {:} \longrightarrow \sf{\sf{48 \: = \: \dfrac{1}{2}\: \times \: 4 \: \times \: 14 \: + \: Parallel \: side }}\\\\{:} \longrightarrow \sf{\sf{48 \: = \: \dfrac{1}{ \cancel2}\: \times \: \cancel4 \: \times \: 14 \: + \: Parallel \: side }}\\\\ {:} \longrightarrow \sf{\sf{48 \: = \: \: 2\: \times \: 14 \: + \: Parallel \: side }}\\\\ {:} \longrightarrow \sf{\sf{48 \: = \: 28 \: + \: Parallel \: side }}\\\\ {:} \longrightarrow \sf{\sf{48 \: - \: 28 = \: Parallel \: side }}\\\\{:} \longrightarrow \sf{\bf{20cm \: = \: Parallel \: side }}$

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Verification :-

$\longmapsto \sf{\sf{Area \: of \: Trapezium \: = \: \dfrac{1}{2}\: \times \: Height \: \times \: Sum \: of \: parallel \: sides }}\\\\ \longmapsto \sf{\sf{48 \: = \: \dfrac{1}{2}\: \times \: 4 \: \times \: 14 \: + \: 20 }}\\\\\longmapsto \sf{\sf{48 \: = \: \dfrac{1}{ \cancel2}\: \times \: 4 \: \times \: \cancel{14} \: + \: 20 }}\\\\ \longmapsto \sf{\sf{48 \: = \: \: 4\: \times \:7 \: + \: 20 }}\\\\ \longmapsto \sf{\sf{48 \: = \: 28 \: + \: 20 }}\\\\\longmapsto \sf{\bf{48 \: = \: 48 }}$

Hence, Verified

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So, length of second parallel side is 20cm

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Answer 2

Answer:

I know the answer

Step-by-step explanation:

there is one answer for this question