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kkurt [141]
3 years ago
10

The area of a regular octagon is 35 cm squared what is the area of a regular octagon with sides five times as long

Mathematics
2 answers:
KATRIN_1 [288]3 years ago
7 0
The answer would be 875cm squared
sashaice [31]3 years ago
6 0
So first, you must use the area of an octagon formula to find the length of one side of the given octagon...
A = 2 ( 1 + √2) s^2
35 = 2 ( 1 + √2) s^2
s = 2.57 cm

Next, you must use the area of an octagon formula to find the area of the second octagon by multiplying the side length above by five.
A = 2 ( 1 + √2) s^2
A = 2 ( 1 + √2) (2.57 • 5)^2
A = 736.44 cm^2
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Using the surface area formula for rectangular and triangular prism, the surface area of the composite figure is: 444 m².

<h3>What is the Surface Area of the Composite Figure?</h3>

Total surface area = surface area of the top triangular prism + surface area of the bottom rectangular prism - area of the surface both share together.

Surface area of the top triangular prism = (S1 + S2+ S3)L + bh = (10 + 10 + 16)5 + (16)(6) = 276 m².

Surface area of the bottom rectangular prism = 2(wl + hl + hw) = 2·(5·16+4·16+4·5) = 328 m²

Area of the surface both share together = 2(16)(5) = 160 m²

Total surface area = 276 + 328 - 160 = 444 m².

Learn more about the surface area of triangular prism on:

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