Rebekah designs a playing field for a new spot. The playing field is pictured what is the area of the playing field
60 square meters
58 square meters
56 square meters
32 square meters
Top is 10m
Bottom is 8m
Right side 4m
Left side 6m
To find the area of the playing field, we can split it into two trapezoids. The formula to find the area of a trapezoid is:
Area = (1/2) * (a + b) * h
where a and b are the lengths of the two parallel sides and h is the height of the trapezoid.
For the top trapezoid:
a = 10m
b = 8m
h = 4m
Area = (1/2) * (10 + 8) * 4 = (1/2) * 18 * 4 = 36 square meters
For the bottom trapezoid:
a = 8m
b = 6m
h = 4m
Area = (1/2) * (8 + 6) * 4 = (1/2) * 14 * 4 = 28 square meters
Adding the areas of the two trapezoids together:
36 + 28 = 64 square meters
So the area of the playing field is 64 square meters. None of the options provided matches this answer exactly, but the closest one is 60 square meters.