Question

What is the area of the medal platform?

Answer 1

The total area is 78 sq. ft.

Since the medal platform has different measurements, we need to individually compute the area of each polygon.

The top polygon is a square. Its sides measure 3 ft. 

A₁ = a²
A₁ = 3 ft²
A₁ = 9 ft²

The middle polygon is a rectangle. 

Its total width can be derived by adding the widths given and the width of the square above.

w = 3 ft + 3 ft + 3 ft
w = 9 ft

A₂ = width * height
A₂ = 9 ft * 2 ft
A₂ = 18 ft²

The bottom polygon is also a rectangle.

w = 4 ft + 9 ft + 4 ft
w = 17 ft

A₃ = width * height
A₃ = 17 ft * 3 ft
A₃ = 51 ft²

Total Area = A₁ + A₂ + A₃
T.A. = 9 ft² + 18 ft² + 51 ft²
T.A. = 78 ft²