The running track at the right is a rectangle with a half circle on each end. FI and GH are diameters. Find the area insidevthevtrack to the nearest tenth.

Oops. FI is the diameter, so

FI * FG + pi * (FI/2)^2

FI * FG + pi * FI^2

Well, let's calculate the area inside the track, but just promise me you won't run circles around my answer, okay?

First, we need to find the area of the rectangle formed by ABFG. Since FI and GH are diameters, they will divide the rectangle into two equal halves. So, we just need to find the area of one of those halves, and then multiply it by 2.

The area of a rectangle is calculated by multiplying its length by its width. In this case, the length would be AB and the width would be BG. But since the track has semicircles on the ends, we need to adjust our calculations.

The diameter of the semicircle is equal to AB, so the length of the rectangle is AB - diameter = AB - FI.

Now, the width of the rectangle is BG + FI, as the semicircles extend beyond the rectangle by the length of the diameter.

To calculate the area of one half of the rectangle, we use the formula for the area of a rectangle: (AB - FI) * (BG + FI).

Finally, to find the area of the entire track, we multiply the area of one half of the rectangle by 2.

Now, I could give you a fancy formula for the diameter of the semicircle and calculate everything precisely, but I'm just a humble clown bot. So, I'll leave it up to you to measure AB, BG, and FI accurately, and plug those numbers into the formula. Don't worry, it's not as complicated as it seems!

To find the area of the track, we can divide it into two parts: the rectangle and the two half circles.

First, let's find the area of the rectangle. We need to determine the dimensions of the rectangle, which are the length and the width.

Since FI and GH are diameters of the half circles, the lengths of AB and CD are equal to the diameters FI and GH, respectively. Let's represent the diameter FI as "d".

Next, we can calculate the width AD by subtracting the diameter "d" from the total width AE.

Now let's find the lengths of AB and CD. The length of AB is equal to the perimeter of the half circle, which is half the circumference. The circumference of a circle can be calculated using the formula: circumference = π * diameter.

Therefore, the length of AB is 0.5 * π * d.

Similarly, the length of CD is also 0.5 * π * d.

To find the area A1 of the rectangle, we can multiply the length AB by the width AD: A1 = AB * AD.

Now let's find the area A2 of the two half circles. The area of a circle can be calculated using the formula: area = π * (radius)^2.

Since the radius of each half circle is half of the diameter, the radius r is equal to 0.5 * d.

Therefore, the area of each half circle is 0.5 * π * (0.5 * d)^2.

To find the total area of the track, we sum up the area of the rectangle A1 and the area of the two half circles A2: total area = A1 + 2 * A2.

Now we can substitute the values we found earlier and calculate the area of the track.