Respuesta :

area of figure
= (7 x 7) + [1/2(12)(7)]
= 49 + 42
= 91

answer 
91 in²

The given figure can be divided in two parts 1) Square with side 7 in 2) A right triangle with base 12 in and height 7 in.

1) Area of square = [tex] side^{2} [/tex]

Side of the square is 7 in.

Area = [tex] 7^{2} =49in^{2} [/tex]

2) Area of triangle = [tex] \frac{1}{2} .base . height [/tex]

Area of triangle =[tex] \frac{1}{2} (12)(7) =42in^{2} [/tex]

Area of polygon= Area of square+ Area of triangle

Area of polygon = 49+42 =91 square in.

Area = [tex] 91in^{2} [/tex]