Answer:
a) P = 24.2 units
b) A = 13.9 square units
Step-by-step explanation:
Perimeter = [tex]\sqrt{10}[/tex]+[tex]\sqrt{10}[/tex] + 4[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex]
P = 2[tex]\sqrt{10}[/tex] + 8[tex]\sqrt{5}[/tex] 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):
([tex]\sqrt{5}[/tex]²) + h² = ([tex]\sqrt{10}[/tex]²)
5 + h² = 10
h² = 5
h = [tex]\sqrt{5}[/tex]
A = bh
A = [tex]\sqrt{5}[/tex] (4 + [tex]\sqrt{5}[/tex])
A = 4[tex]\sqrt{5}[/tex] + 5 which is approx 13.9 square units
