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Brilliant_brown [7]
3 years ago
14

Write an expression in simplest form that represents the perimeter of the polygon ​

Mathematics
1 answer:
scoundrel [369]3 years ago
6 0

Answer:

Perimeter = (11x + 12)

Step-by-step explanation:

Since, perimeter of a polygon is represented by the sum of measures of all sides,

Perimeter of the given polygon = 3x + (x + 10) + 5x + (2x + 2)

By adding like terms of the expression,

Perimeter of the polygon = (3x + x + 5x + 2x) + (10 + 2)

                                          = (11x + 12)

Therefore, expression for the perimeter is (11x + 12).

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Step-by-step explanation:

Given that,

The height of the cone, h = 24 cm

The radius of the cone, r = 10 cm

The slant height of the cone is :

l=\sqrt{h^2+r^2} \\\\l=\sqrt{24^2+10^2} \\\\l=26\ cm

The lateral area of the cone is given by :

A=\pi rl\\\\=3.14\times 10\times 26\\\\=816.4\ cm^2\approx 816\ cm^2

The surface area of the cone is given by :

A=2\pi rh\\\\=2\times 3.14\times 10\times 24\\\\=1507.2 \approx 1507\ cm^2

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