The River Rock Horse Rescue has a fenced-off pasture in the shape of a trapezoid. They need to calculate the area of the trapezoid to see how many horses it will safely hold. The bases of the trapezoid are 30 meters long and 20 meters long. The height of the trapezoid is 10 meters. Which equation can you use to find the area of the pasture, A? Choices: (A)A = 1/2(10)(30 + 20) (B)A = 1/2(20)(10 + 30) What is the area of the pasture? Write your answer as a whole number or decimal. Do not round. ____ square meters

Identify Formula: Step 1: Identify the formula to calculate the area of a trapezoid. The formula for the area of a trapezoid is A = 1/2 * (base1 + base2) * height. Here, base1 = 30 meters, base2 = 20 meters, and height = 10 meters. Substitute Values: Step 2: Substitute the values into the formula. Using the formula A = 1/2 * (base1 + base2) * height, substitute the given values: A = 1/2 * (30 + 20) * 10 Perform Calculations: Step 3: Perform the calculations. Calculate the sum of the bases: 30 + 20 = 50 meters. Then, calculate the area: A = 1/2 * 50 * 10 = 250 square meters.

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The River Rock Horse Rescue has a fenced-off pasture in the shape of a trapezoid. They need to calculate the area of the trapezoid to see how many horses it will safely hold. The bases of the trapezoid are $30\,\text{meters}$ long and $20\,\text{meters}$ long. The height of the trapezoid is $10\,\text{meters}$ . Which equation can you use to find the area of the pasture, $A$ ? $\newline$ Choices: $\newline$ (A) $A = \frac{1}{2}(10)(30 + 20)$ $\newline$ (B) $A = \frac{1}{2}(20)(10 + 30)$ $\newline$ What is the area of the pasture? $\newline$ Write your answer as a whole number or decimal. Do not round. $\newline$ ____ square meters $\newline$

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Area of quadrilaterals and triangles: word problems

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Q. The River Rock Horse Rescue has a fenced-off pasture in the shape of a trapezoid. They need to calculate the area of the trapezoid to see how many horses it will safely hold. The bases of the trapezoid are

30\,\text{meters}

long and

20\,\text{meters}

long. The height of the trapezoid is

10\,\text{meters}

. Which equation can you use to find the area of the pasture,

A

\newline

Choices:

\newline

(A)

A = \frac{1}{2}(10)(30 + 20)

\newline

(B)

A = \frac{1}{2}(20)(10 + 30)

\newline

What is the area of the pasture?

\newline

Write your answer as a whole number or decimal. Do not round.

\newline

____ square meters

\newline

Identify Formula: Step $1$ : Identify the formula to calculate the area of a trapezoid. $\newline$ The formula for the area of a trapezoid is $A = \frac{1}{2} \times (\text{base1} + \text{base2}) \times \text{height}$ . Here, $\text{base1} = 30$ meters, $\text{base2} = 20$ meters, and $\text{height} = 10$ meters.
Substitute Values: Step $2$ : Substitute the values into the formula. $\newline$ Using the formula $A = \frac{1}{2} \times (\text{base1} + \text{base2}) \times \text{height}$ , substitute the given values: $\newline$ $A = \frac{1}{2} \times (30 + 20) \times 10$
Perform Calculations: Step $3$ : Perform the calculations. $\newline$ Calculate the sum of the bases: $30 + 20 = 50$ meters. $\newline$ Then, calculate the area: $A = \frac{1}{2} \times 50 \times 10 = 250$ square meters.