Question

PLEASE HELP!!To the nearest square unit, what is the area of the regular heptagon shown below? A.2772 square unitsB.1572 square unitsC.792 square unitsD.5545 square units

Answer 1

We are given an heptagon. NOte that we can divide the heptagon in triangles as follows

(The picture is an approximation).

This triangles are all the same , so to calculate the area of heptagon, we simply calculate the area of one of the triangles and then multiply it by 7.

We have the following triangle

REcall that the area of a triangle of base b and height h is given by the formula

`(b\cdot h)/(2)`

By taking b=20.8 and h = 21.6, we get

`(20.8\cdot21.6)/(2)=224.64`

So, the whole area would be

`7\cdot224.64\text{ =1572.48}`

which rounded to the nearest square unit is 1572