Question

Alexia is cutting construction paper into rectangles for a projects. She needs to cut one rectangle that is a 9 inches x 14 1/3 inches. she needs to cut another that is 10 1/4 inches by 10 1/3 inches. How many total square inches of construction paper does Alexia need for her project?

Answer 1

To find the total square inches of construction paper Alexia needs, we need to find the area of each rectangle and add them together.

For the first rectangle, the area is:

9 inches x 14 1/3 inches = (9 x 14) + (9 x 1/3) = 126 + 3 = 129 square inches

For the second rectangle, the area is:

10 1/4 inches x 10 1/3 inches = (10 x 10) + (10 x 1/4) + (10 x 1/3) + (10 x 1/12) = 100 + 2.5 + 3 1/3 + 5/6 = 105 5/6 square inches

To find the total area, we add the two areas together:

129 square inches + 105 5/6 square inches = 234 5/6 square inches

Therefore, Alexia needs 234 5/6 square inches of construction paper for her project.

Answer 2

234.8525 square inches

Explanation:

To find the total area of construction paper needed for the project, we need to find the area of each rectangle and add them together.

For the first rectangle, the dimensions are:

Length = 9 inches

Width = 14 1/3 inches

Area of the first rectangle = Length x Width

Area of the first rectangle = 9 inches x (43/3) inches

Area of the first rectangle = 9 inches x 14.33 inches

Area of the first rectangle = 128.97 square inches (rounded to two decimal places)

For the second rectangle, the dimensions are:

Length = 10 1/4 inches

Width = 10 1/3 inches

Area of the second rectangle = Length x Width

Area of the second rectangle = (41/4) inches x (31/3) inches

Area of the second rectangle = 10.25 inches x 10.33 inches

Area of the second rectangle = 105.8825 square inches (rounded to four decimal places)

Therefore, the total area of construction paper needed for the project is:

Total area = Area of first rectangle + Area of second rectangle

Total area = 128.97 square inches + 105.8825 square inches

Total area = 234.8525 square inches (rounded to four decimal places)

Therefore, Alexia needs a total of approximately 234.8525 square inches of construction paper for her project.