Question

Find the area of the given figure.
plz find it!!​

Answer 1

Answer: 368 cm^2

Step-by-step explanation: given the the photo

Answer 2

Answer:

Area of the Figure = 368 cm²

Step-by-step explanation:

1. Area of Quad. ABEF:

As Quadrilateral ABEF is a Trapezium,

Therefore,

$Area \: \: of \: \: Trapezium = \frac{1}{2} \times \: (sum \: of \: parallel \: sides) \: \times height \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{2} \times (12 + 32 )\: \times 10 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1 \times (44) \times 5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =220 \: {cm}^{2}$

2. Area of Quad. BCDE:

As Quadrilateral BCDE is also a Trapezium.

Therefore,

$Area \: \: of \: \: Trapezium = \frac{1}{2} \times \: (sum \: of \: parallel \: sides) \: \times height \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{2} \times (12 + 25 )\: \times 8 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1 \times (37) \times 4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =148 \: {cm}^{2}$

Therefore,

Area of the Figure = Area of Quad. ABEF + Area of Quad. BCDE

Area of the Figure = 220 + 148

Area of the Figure = 368 cm²

Therefore, Area of the Figure is 368 cm².

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