Question

Find area of the following Quadrilateral​

Answer 1

Answer:

44cm square

Step-by-step explanation:

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Answer 2

GIVEN :-

★ In Figure ABCDE ★

• AC = 12 cm.
• EF = 2 cm.
• ED = 8 cm.
• BG = 4 cm.

TO FIND :-

• The Area of quadrilateral.

SOLUTION :-

• [ Let's break the quadrilateral into two parts (1) in triangle ABC and (2) in trapezium ACDE .]

★ For △ ABC ★

• Height (BG) = 4 cm.
• Base (AC) = 12 cm.

★ Area of △ ABC = ½ × base × Height.

➬ ½ × (AC × BG)

➬ ½ × 12 × 4

➬ 48/2

➬ 24 cm².

★ Hence Area of △ ABC is 24 cm².

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★ For trapezium ACDE ★

• parallel sides (AC , DE) = 12 cm , 8 cm.
• Height (EF) = 2 cm.

★ Area of trapezium ACDE = ½ ( a + b) × h.

➬ ½ (AC + DE) × EF

➬ ½ (12 + 8) × 2

➬ 20 cm².

★ Hence the area of trapezium ACDE is 20 cm² ★

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★ For Quadrilateral ★

• Area of △ ABC = 24 cm².
• Area of trapezium ACDE = 20 cm².

★ Area of quadrilateral = Area of △ ABC + Area of trapezium ACDE .

➬ 24 cm² + 20 cm².

➬ 44 cm².

★ Hence the area of quadrilateral is 44 cm². ★