Question

How can you use formulas you already know to find the area and perimeter of a composite figure? The six lane track shown in the made up of a rectangle. Terminology and helpful formulas: A straightway is the non curved section of the track. In this specific track each straightaway is 85.0 meters long. Area of rectangle: A=l w. Area of circle A=r2 Circumference C=2r. In the straightaways, each lane is rectangle. What is the area and perimeter of each lane in the straightaways?

Answer 1

The area of the composite figure = 10,874.1 sq. m.

The perimeter of the composite figure = 406.9 m

What is the Area and Perimeter of a Rectangle and Circle?

Perimeter of a rectangle = 2(length + width)

Area of a rectangle = length × width

Perimeter of a circle = 2πr

Area of a circle = πr²

What is Area of the composite figure?

The figure is made up of two semicircles (1 full circle) and a rectangle.

Area of the composite figure = area of circle + area of rectangle

= πr² + length × width

r = 36.5 + 1.2 = 37.7 m

length = 85.0 m

width = 2(36.5) + 2(1.2) = 75.4 m

Substitute

Area of the composite figure = π(37.7)² + 85.0 × 75.4 = 10,874.1 sq. m.

What is Perimeter of the Composite Figure?

Perimeter of the composite figure = perimeter of circle + 2(length of the rectangle)

= 2πr + 2(L)

Plug in the values

= 2π(37.7) + 2(85.0)

Perimeter of the composite figure = 406.9 m

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