How many square feet of grass are there on the trapezoidal field with a height of 75 ft and bases of 125ft and 81 ft
75 (125 + 81) / 2
In other words use the average height
to show why draw verticals at the two ends of the short top
you cut off identical triangles at the ends
put those triangles together now and look at the area added to the interior rectangle by them,
area of trap = (1/2)(sum of bases)(height between the bases)
= (1/2)(125+81)(75)
= ..... ft^2
To find the area of a trapezoid, you can use the formula:
Area = (base1 + base2) / 2 * height
Let's calculate the area of the trapezoidal field step by step.
1. Calculate the sum of the bases:
base1 = 125 ft
base2 = 81 ft
sum = base1 + base2
= 125 ft + 81 ft
= 206 ft
2. Calculate the area:
area = (sum / 2) * height
= (206 ft / 2) * 75 ft
= 103 ft * 75 ft
= 7,725 ft²
Therefore, there are 7,725 square feet of grass on the trapezoidal field.
To find the area of a trapezoid, you can use the formula:
Area = (1/2) * (base1 + base2) * height
In this case, the height of the trapezoid is given as 75 ft, and the bases are given as 125 ft and 81 ft.
You can substitute these values into the formula to calculate the area:
Area = (1/2) * (125 + 81) * 75
First, add the values inside the parentheses:
Area = (1/2) * 206 * 75
Next, multiply the values outside the parentheses:
Area = 0.5 * 206 * 75
Multiply 0.5 by 206:
Area = 103 * 75
Finally, multiply 103 by 75:
Area = 7,725 square feet
Therefore, the trapezoidal field has an area of 7,725 square feet.