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