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?
(2 points)
To find the area of the trapezoidal field, we use the formula A = h(b1 + b2)/2.
Given:
Height (h) = 75 ft
Base 1 (b1) = 125 ft
Base 2 (b2) = 81 ft
Substituting the values into the formula, we have:
A = 75(125 + 81)/2
Simplifying the expression inside the brackets:
A = 75(206)/2
Now, multiplying:
A = 15450/2
Simplifying:
A = 7725
Therefore, there are 7,725 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
(1 point)
To simplify the expression 5 + 4*(8-6)^2, we need to follow the order of operations, which is parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).
First, we simplify the expression inside the parentheses:
8-6 = 2
Next, we square the result:
2^2 = 4
Now, we substitute the simplified expression back into the original expression:
5 + 4*4
Multiplying:
5 + 16
Finally, we add:
5 + 16 = 21
Therefore, the simplified expression is 21.
Multiple Choice
16y + 0 = 16y
(1 point)
Responses
Associate Property of Addition
Associate Property of Addition
Zero Property of Multiplication
Zero Property of Multiplication
Commutative Property of Addition
Commutative Property of Addition
Identity Property of Addition
Zero Property of Multiplication
To find the area of the trapezoid, we can use the formula A = h(b1 + b2), 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
Substituting the given values into the formula, we have:
A = 75(125 + 81)
Next, simplify the expression within the parentheses:
A = 75(206)
Now, multiply the value inside the parentheses by 75:
A = 15450
Therefore, the trapezoid field has an area of 15450 square feet.
To find the area of a trapezoid using the given formula, you need to follow these steps:
Step 1: Write down the given values:
- Height (h) = 75 ft
- Length of the first base (b1) = 125 ft
- Length of the second base (b2) = 81 ft
Step 2: Substitute the values into the formula:
Area (A) = h(b1 + b2)
= 75 ft (125 ft + 81 ft)
Step 3: Simplify the expression inside the parentheses:
Area (A) = 75 ft (206 ft)
Step 4: Multiply the values:
Area (A) = 15,450 ft²
Therefore, there are 15,450 square feet of grass on the trapezoidal field.