you about the after-school program at Longwood Middle School draw a scale model of a trapezoid community garden the scale is 1 cm in 5 feet 4cm 5cm 9cm part A what are the dimensions of the actual garden show you work part B what is the area of the actual Garden

you about the after-school program at Longwood Middle School draw a scale model of a trapezoid community garden the scale is 1 cm in 5 feet 4cm 5cm 9cm part A w class=
you about the after-school program at Longwood Middle School draw a scale model of a trapezoid community garden the scale is 1 cm in 5 feet 4cm 5cm 9cm part A w class=

Answer :

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

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