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