Answer:
108.5 ft²
Explanation:
The area of the deck is composite of 3 parts: a right ∆, a rectangle and a ∆.
The area of the deck can be determined by calculating the area of each part as shown below.
Area of the right triangle:
Area = ½*base*height
Base = 6 ft
Height = 7 ft
Area = ½*6*7 = 3*7 = 21 ft²
Area of the rectangle:
Area = length * width
Length = 10 ft
Width = 7 ft
Area = 10*7 = 70 ft²
Area of the other traingle:
Area = ½*base*height
Base = 7 ft
Height = 5 ft
Area = ½*7*5
Area = 3.5*5 = 17.5 ft²
Area of the deck = 21 + 70 + 17.5 = 108.5 ft²