TEKS 6.8D Worksheets — Grade 6 Determine solutions for problems involving the area

Mateo is planting a garden in his backyard. He has a rectangular space that is 12 feet long and 8 feet wide. If he wants to cover the entire garden with mulch and each bag of mulch covers 24 square feet, how many bags of mulch will Mateo need to buy?

1. 3
2. 4 ✓
3. 5
4. 2

Why: To find out how many bags of mulch Mateo needs, first calculate the area of the garden by multiplying the length and width: 12 feet * 8 feet = 96 square feet. Then, divide the total area by the coverage per bag: 96 square feet / 24 square feet per bag = 4 bags. Therefore, Mateo needs to buy 4 bags of mulch.

Victoria is planning a garden in her backyard in Austin, Texas. She wants to create a rectangular garden that measures 3.5 feet in width and 7.2 feet in length. To determine the area of her garden in square feet, which expression best represents the area of the garden?

1. 3.5 * 7.2 ✓
2. 3.5 + 7.2
3. 3.5 / 7.2
4. 3.5 - 7.2

Why: To find the area of a rectangle, you multiply the length by the width. In this case, the length is 7.2 feet and the width is 3.5 feet. Therefore, the expression that best represents the area of the garden is 3.5 * 7.2, which gives the area in square feet.

Logan is planting a rectangular garden in his backyard in Austin. The length of the garden is 5.5 feet, and the width is 3.25 feet. What is the area of Logan's garden in square feet?

1. 17.875 ✓
2. 8.875
3. 15.5
4. 18.25

Why: To find the area of a rectangle, you multiply the length by the width. Logan's garden has a length of 5.5 feet and a width of 3.25 feet. So, the area is 5.5 * 3.25 = 17.875 square feet. Therefore, the correct answer is 17.875.

Carolina is designing a new rectangular flower bed in her backyard in Dallas, Texas. The length of the flower bed is 4.5 feet longer than its width. If the width of the flower bed is represented by w feet, the area of the flower bed is to be 54 square feet. Which equation can be used to find the width of the flower bed?

1. w * (w + 4.5) = 54 ✓
2. w + (w + 4.5) = 54
3. (w + 4.5) * 54 = w
4. 54 / w = w + 4.5

Why: To find the width of the flower bed, we need to represent the area as the product of length and width. The length is 4.5 feet longer than the width, which gives us the expression (w + 4.5). Therefore, the area can be represented with the equation w * (w + 4.5) = 54. This allows us to solve for the width (w) of the flower bed.

Omar is planning a community garden in his neighborhood. He has measured a rectangular plot of land that is 8 meters long and 6 meters wide. What is the area of the garden in square meters?

1. 48 ✓
2. 14
3. 24
4. 36

Why: To find the area of a rectangle, you multiply the length by the width. In this case, the area is 8 meters × 6 meters = 48 square meters. Therefore, the correct answer is 48.

Maria is building a rectangular garden in her backyard in Lufkin. The length of the garden is 3.5 feet longer than its width. If the width of the garden is 4 feet, what is the area of the garden in square feet?

1. 28
2. 30 ✓
3. 32
4. 36

Why: To find the area of the rectangular garden, we first determine the length. The width is 4 feet, and the length is 3.5 feet longer than the width. So, the length is 4 + 3.5 = 7.5 feet. The area can now be calculated by multiplying the length by the width: Area = length * width = 7.5 * 4 = 30 square feet. Therefore, the correct answer is 30.

Daniela is helping her family build a rectangular garden in their backyard in Tyler, Texas. The garden will be 4.5 meters long and 3.2 meters wide. They plan to plant flowers in the garden and want to know the area they will be working with. What is the area of the garden in square meters?

1. 14.4 ✓
2. 12.5
3. 13.6
4. 15.0

Why: To find the area of the rectangle, you multiply the length by the width. The area is 4.5 meters * 3.2 meters = 14.4 square meters.

Gabriela wants to plant prickly pear cactus in her backyard in Texas. She has a rectangular garden that is 3.5 meters long and 2.4 meters wide. To find the area of her garden, Gabriela wants to use the formula for the area of a rectangle, which is length times width. What is the area of Gabriela's garden in square meters?

1. 8.4 ✓
2. 7.0
3. 6.0
4. 9.4

Why: To find the area of the rectangular garden, you multiply the length by the width. Here, Gabriela's garden is 3.5 meters long and 2.4 meters wide. So, the area is 3.5 * 2.4 = 8.4 square meters. Therefore, the correct answer is 8.4.