49.5 in^2
[tex]49.5\text{ in}^2[/tex]
Explanation:
Data:
. Triangle:
height : h = 7
base : b = 7
. Square:
side : a = 5
Formulas:
Area of a triangle: At
[tex]At\text{ = }\frac{b*h}{2}[/tex]
Area of a square: As
[tex]As\text{ = a * a}[/tex]
Area of the composite shape: A
[tex]A\text{ = }At\text{ }+\text{ }As[/tex]
Solution:
[tex]At\text{ = }\frac{7*7}{2}\text{ = }\frac{49}{2}=24.5\text{ in}^2[/tex][tex]As=\text{ }5*5=25\text{ }in^2[/tex][tex]A\text{ = }24.5\text{ +}25\text{ = }49.5\text{ in}^2[/tex]
