> #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.?
S
Sanggwas
Sep 1

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
Sep 1
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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G
Google Gemini AI
Sep 1
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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