Carson and emily make a poster for school. The poster is in the shape of a rectangle. The length of the poster measures 7 units, and the area of the poster is 42 square units. What is the width of the poster
A. 35 units
B. 294 units
C. 8 units
D. 6 units
C. 8 units
To find the width of the poster, we can use the formula for the area of a rectangle: length x width = area.
Given:
Length = 7 units
Area = 42 square units
Substitute these values into the formula:
7 units x width = 42 square units
Solve for width:
width = 42 square units / 7 units
width = 6 units
Therefore, the width of the poster is 6 units.
Ca' Marion designs a sign for a store in the shape of a triangle. His design has a base of 14 feet and a height of 3 feet. What is the area of his design
A. 84 square feet
B. 42
square feet
C. 8.5 square feet
D. 21 square feet
The formula to calculate the area of a triangle is: area = 1/2 * base * height
Given:
Base = 14 feet
Height = 3 feet
Substitute the values into the formula:
Area = 1/2 * 14 feet * 3 feet
Area = 21 square feet
Therefore, the area of his design is 21 square feet.
Correct answer: D. 21 square feet
Rachel designs a square tablecloth. Each side of the tablecloth measures 6 feet. What is the tablecloth's area?
To find the area of the square tablecloth, you can use the formula for the area of a square: side x side.
Given:
Side = 6 feet
Substitute the value into the formula:
Area = 6 feet x 6 feet
Area = 36 square feet
Therefore, the tablecloth's area is 36 square feet.
Crystal cuts a piece of wood into the shape of a triangle. The height of the triangle is 5 inches, and the base of the triangle. If the base of her scale draiwng is 4 inches, what is the height
A. 1 inch
B. 2.5 inches
C. 2 inches
D. 10 inches
To find the height of the actual triangle, we can use the concept of similar triangles.
Given:
The base of the scale drawing is 4 inches.
The height of the scale drawing is 5 inches.
Let's denote:
h = height of the actual triangle
b = base of the actual triangle
Since the triangles are similar, we can set up a proportion:
actual height / actual base = scale drawing height / scale drawing base
h / b = 5 / 4
We are trying to find the height (h), so we will keep it as is, and we know that the base (b) is 4 inches:
h / 4 = 5 / 4
Now, cross multiply:
4 * 5 = 4h
20 = 4h
h = 20 / 4
h = 5
Therefore, the height of the actual triangle is 5 inches.
The closest option provided is 2.5 inches (B), but the correct answer based on the calculations is not listed in the options.
What is the circumference of z circle that has a diameter of 234 cm? Use 3.14 for and round your answer to the nearest hundredths place
To find the circumference of a circle, you can use the formula:
Circumference = π * Diameter
Given:
Diameter = 234 cm
π = 3.14
Substitute the values in the formula:
Circumference = 3.14 * 234 cm
Circumference = 734.76 cm
Rounded to the nearest hundredths place, the circumference of the circle is 734.76 cm.
The approximate of a large pizza is 72.22 inches. Use 3.14 for . What is the diameter of the pizza
A.22 inches
B. 23 inches
C.14.4 inches
D. 11.5 inches
To find the diameter of the pizza, you can use the formula for the circumference of a circle:
Circumference = π * Diameter
Given:
Circumference = 72.22 inches
π = 3.14
Solve for the diameter:
Diameter = Circumference / π
Diameter = 72.22 inches / 3.14
Diameter ≈ 23 inches
Therefore, the diameter of the pizza is approximately 23 inches, which matches option B.