Mathematics, 20.09.2019 08:10, metatiley

The drawing below (not to scale) shows a running track. the ends are semicircles. the distance between the two inner parallel straight lines is 60 meters, and they are each 100 meters long. the track is 10 meters wide. find the area of the track. shaded part

The drawing below (not to scale) shows a running track. the ends are semicircles. the distance betwe

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answered: Jakeandjenn21

We are told that each end of the track is a semicircle, and the inner part of the track is parallel. The width of the track is 10 m, and the length of the parallel lines is 100 m. Therefore, we can determine the area of the long middle portion of the track, as it is simply two rectangles.

The area of one inner part of the track is:

A = l x w
A = 100 m x 10 m
A = 1000 m²

Since we have two of these rectangles, we just multiply this value by two to get the entire area of the track for the inner section.

A = 2000 m²

Now we can tackle the semicircles. If we were to combine the two semicircles, we would get one large circle (shaded) with a smaller (unshaded) circle inside. We can determine the area of both circles and simply subtract the area corresponding to the inner circle.

We are told that the diameter of the inner circle is 60 m (radius of 30m), and since we are also told the track is 10 m wide, so the diameter of the outer circle is d = 60 m + 10 m + 10 m = 80 m, with a radius of 40 m.

The area of a circle is defined as A = πr²

Large circle:

A = π (40)² = 1600π

Inner circle:

A = π (30)² = 900π

The area of the shaded circle is simply the difference in these two areas.

Shaded circle:

A = 1600π - 900π = 700π = 2200 m²

To determine the area of the entire track, we now just combine the area of the shaded circle, with the shaded inner track area we already determined.

Total area of shaded track:

A = 2000 m² + 2200 m²
A = 4200 m²

answered: Guest

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

$a=9\times 12=108\text {ft^2}$

so the area of the floor is 108 square feet, converting that into square yards we get,

$108 \times 0.1111= 12 \text{yd^2}$

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

$\$15 \times 12=\$180$

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

$a = 12 \times 15=180\text {ft}^2$

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

$180 \times 0.111=20 \text {yd}^2$

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

$\$15 \times 20= \$300$

so, it will cost $300.

answered: Guest

Not sure what the question is but i hope this x = years100 * x

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The drawing below (not to scale) shows a running track. the ends are semicircles. the distance betwe...