Benin is sawing boards to make a desk. What is the area of the deck?

108.5 ft²

Step-by-step 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

x=30

step-by-step explanation:

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