30 POINTS! How many square meters are enclosed in the track? Use 3 for π.

Enclosed in the track is __ square meters

Area = 3,656.6 m²

Step-by-step explanation:

Area enclosed by the track is composed of two semicircles and a rectangle.

Area = area of two semicircles + area of rectangle

= 2(½*πr²) + L*W

Where,

radius of semicircle (r) = ½of 40 m = 20 m

Length of rectangle (L) = 60 m

Width of rectangle (W) = 40 m

Plug in the values

Area = 2(½*π*20²) + 60*40

Area = 400π + 2,400

Area = 3,656.6 m² (aooroximated to nearest tenth)

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.