TEKS 6.8B Worksheets — Grade 6 Model area formulas for parallelograms, trapezoids, and

Pablo is designing a triangular garden in his backyard in Austin. The base of the triangle is 8 feet long, and the height is 5 feet. He wants to find the area of the triangle to determine how much soil he needs. What is the area of Pablo's triangular garden in square feet?

1. 20 ✓
2. 30
3. 40
4. 10

Why: To find the area of a triangle, you can use the formula: Area = 1/2 * base * height. In this case, the base is 8 feet and the height is 5 feet. So, Area = 1/2 * 8 * 5 = 1/2 * 40 = 20 square feet. Thus, the area of Pablo's triangular garden is 20 square feet.

Eduardo is designing a new park in Lufkin, Texas. He wants to create a triangular flower bed in the shape of a right triangle. The base of the flower bed is 6 feet long, and the height is 4 feet. To find the area of the flower bed, Eduardo uses the formula: area = 1/2 × base × height. How many square feet will the flower bed cover?

1. 12 ✓
2. 15
3. 18
4. 24

Why: To find the area of the triangular flower bed, use the formula: area = 1/2 × base × height. Plug in the values: area = 1/2 × 6 × 4 = 1/2 × 24 = 12 square feet. Therefore, the flower bed will cover 12 square feet.

Ananya is helping her family create a triangular banner for the upcoming Nacogdoches festival. The base of the triangle is 8 feet long, and the height is 5 feet. If she wants to add a second identical triangle on top of the first, what will be the total area of both triangles combined? Use the formula for the area of a triangle, which is Area = 1/2 * base * height.

1. 40 square feet ✓
2. 20 square feet
3. 10 square feet
4. 30 square feet

Why: To find the area of one triangle, use the formula Area = 1/2 * base * height. Here, the base is 8 feet and the height is 5 feet. So, calculate: Area = 1/2 * 8 * 5 = 20 square feet for one triangle. Since Ananya is creating two identical triangles, multiply the area of one triangle by 2: 20 * 2 = 40 square feet. Therefore, the total area of both triangles combined is 40 square feet.

Anika wants to plant a flower garden in her backyard in Texas. She decides to create a triangular garden that is 8 feet long on one side and has a height of 6 feet from that side to the opposite vertex. What is the area of Anika's triangular garden in square feet?

1. 24 ✓
2. 30
3. 48
4. 36

Why: To find the area of a triangle, you can use the formula: Area = (base * height) / 2. In this case, the base is 8 feet and the height is 6 feet. So, the area calculation would be: (8 * 6) / 2 = 48 / 2 = 24 square feet. Thus, the correct answer is 24.

Amelia is planning a picnic at Enchanted Rock. She wants to set up a triangular area for the picnic that measures 8 feet at the base and has a height of 5 feet. What is the area of the triangular picnic area in square feet?

1. 20 ✓
2. 30
3. 40
4. 10

Why: To find the area of a triangle, use the formula: Area = 1/2 * base * height. Here, the base is 8 feet and the height is 5 feet. Plugging in the values gives: Area = 1/2 * 8 * 5 = 20 square feet. Therefore, the area of Amelia's picnic area is 20 square feet.

Daniela is helping her family plan a trip to Palo Duro Canyon. They want to create a picnic area in the shape of a trapezoid for their lunch. The trapezoid has a top base of 8 feet, a bottom base of 12 feet, and a height of 5 feet. What is the area of the picnic area in square feet?

1. 50 ✓
2. 40
3. 60
4. 30

Why: To find the area of the trapezoid, use the formula: Area = (1/2) * (base1 + base2) * height. Here, base1 is 8 feet, base2 is 12 feet, and the height is 5 feet. First, calculate the sum of the bases: 8 + 12 = 20. Then, multiply by the height: 20 * 5 = 100. Finally, divide by 2: 100 / 2 = 50. So the area of the picnic area is 50 square feet.

Harper is designing a triangular garden in her backyard in Texas Hill Country. The base of the triangle measures 8 feet, and the height from the base to the top of the triangle measures 5 feet. What is the area of Harper's triangular garden?

1. 20 square feet ✓
2. 30 square feet
3. 40 square feet
4. 10 square feet

Why: To find the area of a triangle, use the formula: Area = (base × height) / 2. Harper's triangular garden has a base of 8 feet and a height of 5 feet. So, the area is (8 × 5) / 2 = 40 / 2 = 20 square feet. Therefore, the correct answer is 20 square feet.

Adrian is helping his grandfather calculate the area of a triangular roof on their house in Austin, Texas. The base of the triangle measures 10 feet, and the height is 6 feet. If they want to cover the entire roof with shingles that cost $3 per square foot, how much will it cost to cover the roof? First, find the area of the triangle, then multiply that area by the cost per square foot.

1. $90 ✓
2. $30
3. $18
4. $36

Why: To find the area of the triangle, use the formula Area = 1/2 * base * height. The base is 10 feet and the height is 6 feet. So, Area = 1/2 * 10 * 6 = 30 square feet. Now, multiply the area by the cost of shingles: 30 square feet * $3/square foot = $90. Therefore, it will cost $90 to cover the roof.