Answer
110 $ft^{2}$
Work Step by Step
We need to find the area of the given figure
Area of pentagon = area of rectangle + area of triangle
Area of rectangle whose base has length b and height has length h
is given by A =bh
From the given diagram b= 10 ft h = 9 ft
Area of rectangle = bh = 10 ft * 9 ft = 90 $ft^{2}$
Area of triangle whose base has length b and altitude has length h is given by A = $\frac{1}{2}$ bh
From given diagram base b = 10 ft
h = 13 -9 = 4 ft
Area = $\frac{1}{2}$ * 10 * 4 = 20 $ft^{2}$
Therefore the area of Pentagon = area of triangle + area of rectangle
= 90 + 20 = 110 $ft^{2}$
Therefore the area of the given figure = 110 $ft^{2}$
