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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
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).