As the scale factor is 1cm: 5ft to find the dimensions of the actual garden you multiply the measures in the scale model by 5ft/1cm:
[tex]\begin{gathered} 4\operatorname{cm}\cdot\frac{5ft}{\operatorname{cm}}=20ft \\ \\ 5\operatorname{cm}\cdot\frac{5ft}{\operatorname{cm}}=25ft \\ \\ 9\operatorname{cm}\cdot\frac{5f}{\operatorname{cm}}=45ft \end{gathered}[/tex]
Part A:
Part B:
The area of a trapezoid is:
[tex]A=\frac{1}{2}(b_1+b_2)\cdot h[/tex]
b1 is the base 1 (20ft)
b2 is the base 2 (45ft)
h is the height (25ft)
[tex]\begin{gathered} A=\frac{1}{2}(20ft+45ft)\cdot25ft \\ \\ A=\frac{1}{2}(65ft)\cdot25ft \\ \\ A=\frac{65}{2}ft\cdot25ft \\ \\ A=\frac{1625}{2}ft^2 \\ \\ A=812.5ft^2 \end{gathered}[/tex]The area of the actual garden is 812.5 square feet