Question

Calculate the area and perimeter of the polygon.

Answer 1

a) P = 24.2 units

b) A = 13.9 square units

Explanation:

Perimeter =
`√(10)`+
`√(10)` + 4
`√(5)` + 4
`√(5)`

P = 2
`√(10)` + 8
`√(5)` which is approx 24.2 units

To find area you must find the height which can be done using the Pythagorean Theorem (we can do this for the small triangle on the left):

(
`√(5)`²) + h² = (
`√(10)`²)

5 + h² = 10

h² = 5

h =
`√(5)`

A = bh

A =
`√(5)` (4 +
`√(5)`)

A = 4
`√(5)` + 5 which is approx 13.9 square units