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VMariaS [17]
2 years ago
6

Please help me with this question look at the image. I will mark the brainiest.

Mathematics
1 answer:
Vsevolod [243]2 years ago
7 0

Answer:

  5 ft

Step-by-step explanation:

The area of a trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h

The height is found by solving this equation for h:

  2A/(b1 +b2) = h

  h = 2(25.5)/(3.2 +7) = 51/10.2 = 5 . . . . fill in the given values

The height of the trapezoid is 5 feet.

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The area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

<h3>What is the area of a heptagon?</h3>

Heptagon is the closed shape polygon which has 7 sides and 7 interior angles.

The area of the regular heptagon is found out using the following formula.

A=\dfrac{7a}{4}\cot \left(\dfrac{180}{7}\right)

Here, (<em>a</em>) is the length of the heptagon.

A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. Put the value of side in the above formula,

A=\dfrac{7\times24.18}{4}\cot \left(\dfrac{180}{7}\right)\\A\approx 2125\rm\; cm^2

Hence, the area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

Learn more about the area of a heptagon here;

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