The figure consists of three objects, a rectangle, a trapezoid, a triangle
Find the area of the rectangle The rectangle is 16 in long and 9 in wide a₁ = l × w a₁ = 16 × 9 a₁ = 144 in²
Find the area of the trapezoid The base of trapezoid is 31 in and 16 in, and the height is 35 - 20 = 15 in. a₂ = 1/2 × (a + b) × h a₂ = 1/2 × (31 + 16) × 15 a₂ = 1/2 × 47 × 15 a₂ = 352.5 in²
Find the area of the triangle The base of the triangle is 31 in, the height is 20 in a₃ = 1/2 × b × h a₃ = 1/2 × 31 × 20 a₃ = 310 in²
Add the area together a = a₁ + a₂ + a₃ a = 144 + 352.5 + 310 a = 806.5
