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 = 8h (B)36 = 1/2(8)h 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. This simplifies to 36 = 4h. Solve Equation: To find the height, h, we need to solve the equation 4h = 36. Divide both sides by 4 to isolate h. Find Height: Calculating h, we have h = 36 / 4 = 9. So, the height of the window is 9 feet.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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) $36 = 8h$ $\newline$ (B) $36 = \frac{1}{2}(8)h$ $\newline$ How tall is the window? $\newline$ Write your answer as a whole number or decimal. Do not round. $\newline$ ____ feet

View step-by-step help

Home

Math Problems

Grade 6

Area of quadrilaterals and triangles: word problems

Full solution

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 = 8h

\newline

(B)

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

\newline

How tall is the window?

\newline

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

\newline

____ 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 $\text{Area} = \frac{1}{2}(\text{base})(\text{height})$ . 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 $36 = \frac{1}{2}(8)h$ . This simplifies to $36 = 4h$ .
Solve Equation: To find the height, $h$ , we need to solve the equation $4h = 36$ . Divide both sides by $4$ to isolate $h$ .
Find Height: Calculating $h$ , we have $h = \frac{36}{4} = 9$ . So, the height of the window is $9$ feet.