The attic of Lillian's house has a large window in the shape of a triangle. The window is 8 feet long and has an area of 36 square feet. Which equation can you use to find how tall the window is, h? Choices: (A)36 = 1/2(8)h (B)36 = 8h How tall is the window? Write your answer as a whole number or decimal. Do not round. ____ feet

Calculate Area Formula: To find the height of the triangular window, we need to use the formula for the area of a triangle, which is Area = 1/2(base)(height). Here, the base is given as 8 feet and the area as 36 square feet. Substitute Values: Plugging the values into the formula, we get 36 = 1/2(8)h. Simplifying the right side, 1/2 * 8 = 4, so the equation becomes 36 = 4h. Solve for Height: To find h, divide both sides of the equation by 4. So, h = 36 / 4. Final Calculation: Calculating 36 divided by 4 gives h = 9.

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The attic of Lillian's house has a large window in the shape of a triangle. The window is $8$ feet long and has an area of $36$ square feet. $\newline$ Which equation can you use to find how tall the window is, $h$ ? $\newline$ Choices: $\newline$ (A) $36 = \frac{1}{2}(8)h$ $\newline$ (B) $36 = 8h$ $\newline$ How tall is the window? $\newline$ Write your answer as a whole number or decimal. Do not round. $\newline$ ____ feet $\newline$

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Grade 6

Area of quadrilaterals and triangles: word problems

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Q. The attic of Lillian's house has a large window in the shape of a triangle. The window is

8

feet long and has an area of

36

square feet.

\newline

Which equation can you use to find how tall the window is,

h

\newline

Choices:

\newline

(A)

36 = \frac{1}{2}(8)h

\newline

(B)

36 = 8h

\newline

How tall is the window?

\newline

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

\newline

____ feet

\newline

Calculate Area Formula: To find the height of the triangular window, we need to use the formula for the area of a triangle, which is $\text{Area} = \frac{1}{2}(\text{base})(\text{height})$ . Here, the base is given as $8$ feet and the area as $36$ square feet.
Substitute Values: Plugging the values into the formula, we get $36 = \frac{1}{2}(8)h$ . Simplifying the right side, $\frac{1}{2} \times 8 = 4$ , so the equation becomes $36 = 4h$ .
Solve for Height: To find $h$ , divide both sides of the equation by $4$ . So, $h = \frac{36}{4}$ .
Final Calculation: Calculating $36$ divided by $4$ gives $h = 9$ .