Answer:
The total area of the two triangles is 100 square inches.
Step-by-step explanation:
We know that the area of triangle is given by the formula:
[tex]Area=\dfrac{1}{2}bh[/tex]
where b is the base of the triangle and h is the height of the triangle.
The triangle which is shaded blue:
Has a base(b)=12 in.
and height(h)=10 in.
Hence, Area of blue triangle is:
[tex]Area=\dfrac{1}{2}\times 12\times 10\\\\\\Area=60\ square\ in.[/tex]
and the Triangle which is shaded orange has base(b)=8 in.
and Height(h)=10 in.
Hence, the area of orange shaded triangle is:
[tex]Area=\dfrac{1}{2}\times 8\times 10\\\\\\Area=40\ square\ in.[/tex]
Hence, the total area of two triangle is:
60+40=100 square inches.