Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the formula for the area of a trapezoid A=h(b1+b22)
, 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 75 ft and bases of 125 ft and 81 ft?
To find the area of the trapezoidal field, we can use the formula A = h(b1 + b2), where A is the area, h is the height, and b1 and b2 are the lengths of the bases.
Given that the height (h) is 75 ft, b1 is 125 ft, and b2 is 81 ft, we can substitute these values into the formula:
A = 75(125 + 81)
First, we add the lengths of the bases:
A = 75(206)
Then, we multiply the height by this sum:
A = 15,450 square ft
Therefore, there are 15,450 square feet of grass on the trapezoidal field.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Simplify the expression.
5+4⋅(8−6)2
To simplify the expression 5 + 4 ⋅ (8 − 6)2, we need to follow the order of operations: parentheses, exponentiation, multiplication/division (from left to right), and addition/subtraction (from left to right).
First, we evaluate the expression inside the parentheses:
(8 − 6) = 2
Now, we substitute this value back into the expression:
5 + 4 ⋅ (2)2
Next, we simplify the exponentiation:
(2)2 = 4
Substituting this back into the expression:
5 + 4 ⋅ 4
Now, we perform the multiplication:
4 ⋅ 4 = 16
Finally, we perform the addition:
5 + 16 = 21
Therefore, the simplified expression is 21.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Simplify the expression.
5+4⋅(8−6)2
To find the area of a trapezoid, we can use the formula: A = h(b1 + b2), where A is the area, h is the height, b1 and b2 are the lengths of the bases.
Given:
Height (h) = 75 ft
Base 1 (b1) = 125 ft
Base 2 (b2) = 81 ft
Step 1: Plug the values into the formula.
A = 75(125 + 81)
Step 2: Simplify the equation inside parentheses.
A = 75(206)
Step 3: Multiply to get the final answer.
A = 15,450 square feet
Therefore, there are 15,450 square feet of grass on the trapezoidal field.
To find the area of the trapezoid, we'll use the formula A = 0.5 * (b1 + b2) * h, where A is the area, b1 and b2 are the lengths of the bases, and h is the height.
Given:
Height (h) = 75 ft
Base 1 (b1)= 125 ft
Base 2 (b2) = 81 ft
Step 1: Substitute the given values into the formula.
A = 0.5 * (125 + 81) * 75
Step 2: Simplify the expression within the parentheses.
A = 0.5 * 206 * 75
Step 3: Multiply the two values inside the parentheses.
A = 0.5 * 15,450
Step 4: Calculate the multiplication.
A = 7,725
Therefore, there are 7,725 square feet of grass on the trapezoidal field.