Use the formula for the area of a trapezoid A=h(b1+b2)2
where A is area, b1
and b2
are the length of the bases, and h is the height, to answer the question. How many square feet of grass are there on a trapezoidal field with a height of 17 ft and bases 23 ft and 55 ft?
To find the area of the trapezoidal field, we can use the formula A = h(b1 + b2) / 2.
Plugging in the given values, we have A = 17(23 + 55) / 2.
Calculating the expression inside the parentheses, 23 + 55 equals 78.
Substituting this back into the original equation, we have A = 17(78) / 2.
Multiplying 17 by 78 gives us 1,326.
Dividing 1,326 by 2 results in an area of 663 square feet.
Therefore, there are 663 square feet of grass on the trapezoidal field.
To find the area of the trapezoidal field, we can use the formula for the area of a trapezoid: A = (h/2) * (b1 + b2), where A is the area, h is the height, b1 and b2 are the lengths of the bases.
In this case, the height (h) is 17 ft, the base lengths (b1 and b2) are 23 ft and 55 ft. We can substitute these values into the formula and solve for the area (A).
A = (17/2) * (23 + 55)
A = 8.5 * 78
A = 663 square feet
Therefore, there are 663 square feet of grass on the trapezoidal field.