Kimi bought a trapezoidal rug as the finishing touch to her newly redecorated living room. The trapezoid has an area of 72 square feet. Its bases are 14 feet long and 10 feet long. Which equation can you use to find the trapezoid's height, h? Choices: (A)72 = 1/2h(14 + 10) (B)72 = 2h(14 + 10) What is the trapezoid's height? Write your answer as a whole number or decimal. Do not round. ____ feet

Identify Formula: Step 1: Identify the correct formula to calculate the area of a trapezoid. The area of a trapezoid can be calculated using the formula: Area = 1/2 * (Base1 + Base2) * Height. Given the area is 72 square feet and the bases are 14 feet and 10 feet, we need to find the height, h. The correct equation from the choices that matches this formula is: (A) 72 = 1/2 * h * (14 + 10) Calculate Area: Step 2: Solve the equation for h. Start by simplifying the expression inside the parentheses: 14 + 10 = 24 Now, substitute back into the equation: 72 = 1/2 * h * 24 To isolate h, multiply both sides by 2: 144 = h * 24 Now, divide both sides by 24 to solve for h: h = 144 / 24 h = 6

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Kimi bought a trapezoidal rug as the finishing touch to her newly redecorated living room. The trapezoid has an area of $72$ square feet. Its bases are $14$ feet long and $10$ feet long. $\newline$ Which equation can you use to find the trapezoid's height, $h$ ? $\newline$ Choices: $\newline$ (A) $72 = \frac{1}{2}h(14 + 10)$ $\newline$ (B) $72 = 2h(14 + 10)$ $\newline$ What is the trapezoid's height? $\newline$ Write your answer as a whole number or decimal. Do not round. $\newline$ $\_\_\_$ feet $\newline$

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Q. Kimi bought a trapezoidal rug as the finishing touch to her newly redecorated living room. The trapezoid has an area of

72

square feet. Its bases are

14

feet long and

10

feet long.

\newline

Which equation can you use to find the trapezoid's height,

h

\newline

Choices:

\newline

(A)

72 = \frac{1}{2}h(14 + 10)

\newline

(B)

72 = 2h(14 + 10)

\newline

What is the trapezoid's height?

\newline

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

\newline

\_\_\_

feet

\newline

Identify Formula: Step $1$ : Identify the correct formula to calculate the area of a trapezoid. $\newline$ The area of a trapezoid can be calculated using the formula: Area = $\frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height}$ . $\newline$ Given the area is $72$ square feet and the bases are $14$ feet and $10$ feet, we need to find the height, $h$ . $\newline$ The correct equation from the choices that matches this formula is: $\newline$ (A) $72 = \frac{1}{2} \times h \times (14 + 10)$
Calculate Area: Step $2$ : Solve the equation for $h$ . $\newline$ Start by simplifying the expression inside the parentheses: $\newline$ $14 + 10 = 24$ $\newline$ Now, substitute back into the equation: $\newline$ $72 = \frac{1}{2} \times h \times 24$ $\newline$ To isolate $h$ , multiply both sides by $2$ : $\newline$ $144 = h \times 24$ $\newline$ Now, divide both sides by $24$ to solve for $h$ : $\newline$ $h = \frac{144}{24}$ $\newline$ $h = 6$