Question

Find the area of given figure ABCDEFGH as per dimensions given in it.
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Answer 1

Answer:

BC + CD =8cm I. e perimeter

so Area = l *b

I. e = 8cm *

5cm * 8cm = 40 cm

Answer 2

Diagram:-

Given:-

• The area of given figure ABCDEFGH.

To Find:-

• Find the area of given figure ABCDEFGH

Solutions:-

The right triangle HGF

⟹ AC² = (5)² - (4)²

⟹ AC² = 25 - 16

⟹ AC² = 9

⟹ AC = √9

⟹ AC = 3cm

The right triangle HGF

⟹ HF² = (5)² - (4)²

⟹ HF² = 25 - 16

⟹ HF² = 9

⟹ HF = √9

⟹ HF = 3cm

Area of the given figure ABCDEFGH = (Area of rectangle ADEH) + (Area of ABC) + (Area of HGF)

= (Area of rectangle ADEH) + 2(Area of ABC)

= (AD × DE) + 2(Area of ABC)

= ((AC + CD) × DE) + 2 (1/2 × BC × AC)

= ((3 + 4) × 8) + 2 (1/2 × 4 × 3)

= (7 × 8) + 2 (2 × 3)

= 56 + (2 × 6)

= 56 + 12

= 68cm².

Hence, the area of the given figure is 68cm².

Some Important:-

• The right triangle is one right angle i.e., equal to 90°
• Area = 1/2 × base × height
• Perimeter = a + b + c
• Area of rectangle = length × breadth
• Perimeter of a rectangle = 2(length + breadth)