Length of base of the top triangle = 23 inches
Length of height of the top triangle = 47 inches
Area of the top triangle :
![= (1)/(2) \: * \: base \: * \: height](https://img.qammunity.org/2022/formulas/mathematics/college/w7myg8m2ch511lhbbx1co5ikwevgzs0m48.png)
![= (1)/(2) * 23 * 47](https://img.qammunity.org/2022/formulas/mathematics/college/24z68mrbxh6hs4zdfoy0uc2snkp4w710ft.png)
![= (1)/(2) * 1081](https://img.qammunity.org/2022/formulas/mathematics/college/9mkwuh1c5bznzew33se3qfi2kcsavb9nfv.png)
![= (1081)/(2)](https://img.qammunity.org/2022/formulas/mathematics/college/c4837fb2fn0iazps602meba6aotvag5dak.png)
![= \color{hotpink} \: 540.5 \: \:sq. inches \:](https://img.qammunity.org/2022/formulas/mathematics/college/u5ydbe1ennt65mzjgoypstcotungss3q0m.png)
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 :
![= (1)/(2) \: * \: base \: * height](https://img.qammunity.org/2022/formulas/mathematics/college/omus6st9wqaqwlurob3cb8too5dze29ihi.png)
![= (1)/(2) * 47 * 46](https://img.qammunity.org/2022/formulas/mathematics/college/pbp9d606qxv8h3r6bh5ql6xdi124yo55xs.png)
![= (1)/(2) * 2162](https://img.qammunity.org/2022/formulas/mathematics/college/6rtpw7o2w0zp7ytl9bumaci7qi2zagmqgz.png)
![= \color{hotpink}1081 \:sq. inches](https://img.qammunity.org/2022/formulas/mathematics/college/io2vzaznerod2tlm5tvk0y02g8b93c14sa.png)
Area of the bottom triangle = 1081 sq.inches
Area of the total figure :
= Area of top triangle + Area of bottom triangle
![= 540.5 + 1081](https://img.qammunity.org/2022/formulas/mathematics/college/7q5x7f70sukynvxx3vd2ehk5d4nkutq96f.png)
![= \color{hotpink}\bold{1621.5 \: \: sq.inches}](https://img.qammunity.org/2022/formulas/mathematics/college/9jhm58sl5ketkmjf10xo7fcgx1fhflw46t.png)
Therefore, the area of the figure = 1621.5 sq.inches