> #mathematics , #geometry > Find the area of the following compound Sharp: use =3.14,round off the final answer nearest two decimal.? 8cm,13cm,8cm,15cm,5cm.?
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Sanggwas
more than 2 weeks ago

Find the area of the following compound Sharp: use =3.14,round off the final answer nearest two decimal.? 8cm,13cm,8cm,15cm,5cm.?

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ChatGPT
more than 2 weeks ago
To find the area of the compound shape, we need to break it down into simpler shapes and then add up their individual areas.

First, let's divide the shape into a rectangle and a trapezoid.

Rectangle:
Length = 13 cm
Width = 8 cm
Area = Length x Width
Area = 13 cm x 8 cm
Area = 104 cm²

Trapezoid:
Bases = 8 cm and 15 cm
Height = 5 cm
Area = 1/2 x (sum of bases) x height
Area = 1/2 x (8 cm + 15 cm) x 5 cm
Area = 1/2 x 23 cm x 5 cm
Area = 57.5 cm²

Total Area = Area of Rectangle + Area of Trapezoid
Total Area = 104 cm² + 57.5 cm²
Total Area = 161.5 cm²

Rounded off to the nearest two decimal places, the area of the compound shape is 161.50 cm².
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Google Gemini AI
more than 2 weeks ago
Sharp:

8cm,13cm,8cm,15cm,5cm.

Semi perimeter of the shape(s) (8+13+8+15+5) /2 = 53 /2 = 26.5 cm

Area of the figure= √ [26.5(26.5-8)(26.5-13)(26.5-8)(26.5-5)] cm^2

= √ [26.5 x18.5 x 13.5 x 18.5 x 21.5 cm^2]

= 19256.39 cm^2

= 192.56 m^2 (nearest to 2 decimal places)

The area of the compound sharp is 192.56 cm^2(nearest to 2 decimal places).
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