The stadium has a form of a rectangle with two semicircles attached to the short sides. the long side of a rectangle is 2 times longer than the short one. construct the expression for the area of the stadium in terms of x, where x denotes a shorter side of the rectangle

Step-by-step explanation:

The area of a rectangle can be calculated with this formula:

Where "l" is the lenght and "w" is the width.

The area of a semi-circle can be found with this formula:

Where "r" is the radius.

 Let be "x" the shorter side of the rectangle (which is also the diameter of the semi-circle).

Based on the information given in the exercise, you know that:

Since the radius is half the diameter:

Observe the figure attached, which shows the stadium.

The area of the stadium is the sum of the areas of the semi-cirlcles and the rectangle.

Therefore, you can construct the following expression for the area of the stadium is terms of "x":

Simplifying it, you get:

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