Find area and perimeter

Show work
7cm
5cm
5cm
5cm
5cm
7cm
18cm

1 answer

To find the perimeter, we add up all the sides:

Perimeter = 7 cm + 5 cm + 5 cm + 5 cm + 5 cm + 7 cm + 18 cm
Perimeter = 52 cm

To find the area, we need to know the shape of the figure. Assuming it is a hexagon (a six-sided figure), we can divide it into equilateral triangles to find the area.

We know that the length of each side is 5 cm, so we can use the formula for the area of an equilateral triangle:

Area = (sqrt(3)/4) x side^2

Area of one equilateral triangle = (sqrt(3)/4) x 5 cm^2
Area of one equilateral triangle = 6.25 cm^2

Since the hexagon is made up of six equilateral triangles, we can find the total area by multiplying the area of one triangle by six:

Area = 6 x 6.25 cm^2
Area = 37.5 cm^2

Therefore, the area of the hexagon is 37.5 cm^2.