Answer:
629.86 meters^2
Explanation:
Find area of rectangle when formula for area of rectangle is:
A = L · W
Where "L" represents length and "W" represents width.
Plug in your values that they give:
Length = 28 meters
Width is not there for the rectangle! So we have to find it out. In order to do this, we must find the radius of either one of the semi circles and use that t subtract from the total width of the semi-circle and rectangle to get just the width of the rectangle.
Now, to find the radius of the semi-circle, we have to halve the total length (28), and then half that to get the radius since we get the diameter once we half the total length and we want the radius which is half of the diameter.
28/2 = 14, then half that: 14/2 = 7 is the radius. Let's keep this radius in mind to find the area of these semi-circles later.
Now, subtract the radius from the total width:
24 - 7 = 17 meters is the width of the rectangle.
Plug these values into the formula to find area of the rectangle:
A = L · W
A = 28(17)
A = 476 m^2 is the area of the rectangle.
Second, we find the area of the semi-circles. To make it easier, just compile those two semi-circles into one whole circle so you don't have to half the formula for the area of a full circle and then multiply by two again to get the area of both semi-circles. It would just be easier to find the area of one full circle so you wouldn't have to find the area of each and every individual semi-circle then add them.
Formula for area of circle:
A = πr^2
Where "π" represents pi (3.1415..., or 22/7) and "r" represents the radius.
Plug values in (really only 1 value, 7- which is the radius):
A = πr^2
A = 3.14(7)^2
A = 3.14(49)
A = 153.86 m^2 is the area of the semi-circles.
Now add the areas of both these figures to get the total area of the composite figure:
476 + 153.86
= 629.86 meters^2 is the area of the composite figure.