## Basic College Mathematics (9th Edition)

Total area of the shape = 5905.9 cm$^{2}$
To find the are of the shape we simply need to break the shape into two separate trapezoids, find the area of each trapezoid, and add the results together. Area of a Trapezoid = $A$ = $\frac{1}{2}$$h(b + B) Therefore: A$$_{top}$ = $\frac{1}{2}$(46.2 cm)(61.7 cm + 87.3 cm) $A$$_{top} = \frac{1}{2}(46.2 cm)(149 cm) A$$_{top}$ = (23.1 cm)(149 cm) $A$$_{top} = 3441.9 cm^{2} A$$_{bottom}$ = $\frac{1}{2}$(46.2 cm)(61.7 cm + 92.3 cm) $A$$_{bottom} = \frac{1}{2}(32 cm)(154 cm) A$$_{bottom}$ = (16 cm)(154 cm) $A$$_{bottom} = 2464 cm^{2} Total Area = A$$_{total}$ = $A$$_{top} + A$$_{bottom}$ $A$$_{total} = 3441.9 cm^{2} + 2464 cm^{2} A$$_{total}$ = 5905.9 cm$^{2}$