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?

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 Terminolog class=

Respuesta :

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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