Cara and Beejal make a poster for school. The poster is in the shape of a rectangle. The left side of the poster measures 7 units; the top side of the poster measures 6 units. What is the area in square units of the completed poster?(1 point)
Responses
42 square units
42 square units
26 square units
26 square units
48 square units
48 square units
13 square units
13 square units
The area of a triangle is calculated by the formula: Area = (1/2) x base x height
Given that the area is 7.5 square feet and the height is 2.5 feet, we can plug these values into the formula and solve for the base:
7.5 = (1/2) x base x 2.5
7.5 = (1/2) x 2.5 x base
7.5 = 1.25 x base
base = 7.5 / 1.25
base = 6 feet
Therefore, the correct answer is:
6 feet
Use the image to answer the question.
An illustration shows a rectangle extending upward on the top left and top right sides forming two more rectangles of varying width and length. The dimensions are as follows: The bottom of the rectangle is 7 miles. The extended left side is 6 miles. The vertical height of the left side rectangular extension is 3 miles. The vertical and horizontal lengths of the right side rectangular extension is 1 mile each. There are six right angle symbols at the vertices of the polygon.
What is the area of the composite figure?
(1 point)
Responses
21 square miles
21 square miles
28 square miles
28 square miles
25 square miles
25 square miles
31 square miles
Question
Ja’Miles designs a sign for a store in the shape of a triangle. His design is 7.5 square feet in area, and the triangle has a height of 2.5 feet. What is the length of the base of his sign?(1 point)
Responses
0.6 feet
0.6 feet
3 feet
3 feet
10 feet
10 feet
6 feet
To calculate the area of a composite figure, we need to break it down into simpler shapes and then add up their individual areas.
1. The main rectangle:
Area of main rectangle = length x width
Area of main rectangle = 7 miles x 6 miles
Area of main rectangle = 42 square miles
2. The left side extension:
Area of left side extension = 1/2 x base x height
Area of left side extension = 1/2 x 6 miles x 3 miles
Area of left side extension = 9 square miles
3. The right side extension:
Area of right side extension = length x width
Area of right side extension = 1 mile x 1 mile
Area of right side extension = 1 square mile
Total area of composite figure:
42 square miles (main rectangle) + 9 square miles (left side extension) + 1 square mile (right side extension) = 52 square miles
Therefore, the correct answer is:
52 square miles
choose one on the list.
28 square miles
Use the image to answer the question.
A composite shape is drawn using a rectangle and 2 triangles. A horizontally aligned rectangle is 9 centimeters long and 3 centimeters wide. A right triangle facing upward adjoins the rectangle on the left side marked 3 centimeters. A right triangle facing downward adjoins the rectangle on the right side. The base leg of both triangles measures 2 centimeters.
Hector designs the piece of jewelry shown below. All lengths are marked in centimeters. What is the total area of the piece of jewelry?
(1 point)
Responses
33 square centimeters
33 square centimeters
27 square centimeters
27 square centimeters
30 square centimeters
30 square centimeters
39 square centimeters
To find the total area of the piece of jewelry, we need to calculate the area of each component (rectangle and two triangles) and then sum them up.
1. Area of the rectangle:
Area = length x width
Area = 9 cm x 3 cm
Area = 27 square centimeters
2. Area of the left triangle:
Area = 1/2 x base x height
Area = 1/2 x 3 cm x 3 cm
Area = 4.5 square centimeters
3. Area of the right triangle:
Area = 1/2 x base x height
Area = 1/2 x 2 cm x 9 cm
Area = 9 square centimeters
Total area = Area of rectangle + Area of left triangle + Area of right triangle
Total area = 27 square centimeters + 4.5 square centimeters + 9 square centimeters
Total area = 40.5 square centimeters
Therefore, the total area of the piece of jewelry is 40.5 square centimeters.
Since 40.5 square centimeters is not given as an option, we would round down to the nearest whole number for a total area of 40 square centimeters.
bucko 40 is also not in the options.
Apologies for the oversight. Let's reevaluate the calculations based on the given options:
1. 33 square centimeters:
27 (rectangle) + 3 (left triangle) + 3 (right triangle) = 33 square centimeters
So, the correct answer from the provided options is:
33 square centimeters