Length of base of the top triangle = 23 inches
Length of height of the top triangle = 47 inches
Area of the top triangle :
[tex] = \frac{1}{2} \: \times \: base \: \times \: height[/tex]
[tex] = \frac{1}{2} \times 23 \times 47[/tex]
[tex] = \frac{1}{2} \times 1081[/tex]
[tex] = \frac{1081}{2} [/tex]
[tex] = \color{hotpink} \: 540.5 \: \:sq. inches \:[/tex]
Thus, area of the top triangle = 540.5 sq.inches
Length of base of the bottom triangle = 47 inches
Length of height of the bottom triangle = 46 inches
Area of the bottom triangle :
[tex] = \frac{1}{2} \: \times \: base \: \times height[/tex]
[tex] = \frac{1}{2} \times 47 \times 46[/tex]
[tex] = \frac{1}{2} \times 2162[/tex]
[tex] = \color{hotpink}1081 \:sq. inches[/tex]
Area of the bottom triangle = 1081 sq.inches
Area of the total figure :
= Area of top triangle + Area of bottom triangle
[tex]= 540.5 + 1081[/tex]
[tex]= \color{hotpink}\bold{1621.5 \: \: sq.inches}[/tex]
Therefore, the area of the figure = 1621.5 sq.inches
