Question

I need to find area of them composite shape please

Answer 1

`A=1,026\imaginaryI n^2`

Step-by-step explanation: We have to find the total area of the figure shown, the total area would be the area of the triangle and the square:

`\begin{gathered} A=A_T+A_S\rightarrow(1) \\ \\ A_T=(1)/(2)(B* H) \\ \\ A_S=S^2 \end{gathered}`

plugging in the unknowns in the equation (1) gives the answer as follows:

`\begin{gathered} H=35in \\ \\ \\ B=√(37in^2-35in^2) \\ \\ \\ A_T=2*(1)/(2)(BH)=(35in*√(37\imaginaryI n^2-35\imaginaryI n^2)) \\ \\ \\ A_T=(35in*\sqrt{37\mathrm{i}n^2-35\mathrm{i}n^2})=35in*√(144)=35in*12in^2 \\ \\ \\ A_T=420in^2 \\ \\ \\ A_S=S^2 \\ \\ \\ S=2* B=2*12in=24in \\ \\ \\ A_S=24in^2=576in^2 \\ \\ \\ A=A_T+A_S\Rightarrow A=420in^2+576in^2 \\ \\ \\ A=1,026in^2 \end{gathered}`