Respuesta :

Answer:

77 cm²

Step-by-step explanation:

We know that

Area of trapezium = ½ (a + b) × h

Area = ½ × (10 + 12) × 7

Area = ½ × 22 × 7

Area = 11 × 7

Area = 77 cm²

Given :

Length of parallel sides = 10 cm and 12 cm

Height = 7 cm

What To Find :

Area of trapezium

Formula Using :

[tex]\begin{gathered} {\underline{\boxed{ \rm {\red{Area \: of \: trapezium \: = \: \frac{1}{2} \: \times \: (a \: + \: b) \: \times \:Height }}}}}\end{gathered}[/tex]

Where ,

  • a and b is Parallel sides

Solution :

[tex] \begin{cases} \large\bf\purple{ \implies} \rm \:Area \: of \: trapezium \: = \: \frac{1}{2} \: \times \: (10 \: + \: 12) \: \times \:7 \\ \\ \large\bf\purple{ \implies} \rm \:Area \: of \: trapezium \: = \: \frac{1}{2} \: \times \: 22\: \times \:7 \\ \\ \large\bf\purple{ \implies} \rm \:Area \: of \: trapezium \: = \: \frac{1}{ \cancel2} \: \times \: \cancel{22} \: ^{11} \: \times \:7 \\ \\ \large\bf\purple{ \implies} \rm \:Area \: of \: trapezium \: = \:11 \: \times \: 7 \\ \\ \large\bf\purple{ \implies} \rm \:Area \: of \: trapezium \: = \:77 \: {cm}^{2} \end{cases}[/tex]

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