Simple Polygon Area

Solution:
The area of a square is found by using the formula [tex]S=a.a=5cm.5cm=25cm^2[/tex].

Solution:
The area of a square is given by the formula [tex]S=a.a=1cm.1cm=1cm^2[/tex].

Solution:
The area of a rectangle is given by the formula [tex]S=a.b=3cm.5cm=15cm^2[/tex].

Solution:
The area of a rectangle is given by the formula [tex]S=a.b=2cm.7cm=14cm^2[/tex].

Solution:
Since [tex]CH \bot AB; H \in AB[/tex] => CH is the altitude to AB. The area of a triangle is given by the formula [tex]S=\frac{1}{2}AB.CH=\frac{1}{2}\cdot 5cm \cdot 8cm=5cm \cdot 4cm=20cm^2[/tex]

Solution:
The area of a triangle is determine by the formula [tex]S=\frac{1}{2}.BC.AH=\frac{1}{2}.4cm.3cm=2cm.3cm=6cm^2[/tex]

Solution:
The area of a right triangle is given by the formula [tex]S=\frac{1}{2}AC.BC[/tex] if AC and BC are catheti - in our case they are. So the area is [tex]S=\frac{1}{2}.8cm.7cm=4cm.7cm=28cm^2[/tex]

Solution:
Since [tex]S=a.a=49cm^2[/tex] => [tex]a^2=49cm^2=(7cm)^2[/tex], so [tex]a=7cm[/tex].