A rectangle is twice as long as it is tall. Its height is 5 centimeters. What is its area in square centimeters?(1 point)
Responses
25 cm2
25 cm squared
30 cm2
30 cm squared
12.5 cm2
12.5 cm squared
50 cm2
The rectangle is twice as long as it is tall, so its length would be 2 * 5 cm = 10 cm.
The formula for calculating the area of a rectangle is length * width.
Therefore, the area of this rectangle would be 10 cm * 5 cm = 50 cm2.
Use the formula for the area of a triangle to determine the area of a triangle with base equal to 13 yards and height equal to 5 yards. (1 point)
Responses
32.5 square yards
32.5 square yards
27.5 square yards
27.5 square yards
18 square yards
18 square yards
65 square yards
The formula for the area of a triangle is (base * height) / 2.
Using the given values, we have (13 yards * 5 yards) / 2 = 65 square yards / 2 = 32.5 square yards.
Marigold measures the length and height of a triangular sandwich. If the sandwich’s base measures 4 inches and its area measures 7 square inches, what is the height in inches of the sandwich? (1 point)
Responses
14 inches
14 inches
11 inches
11 inches
1.75 inches
1.75 inches
3.5 inches
To find the height of the sandwich, we can use the formula for the area of a triangle: Area = (base * height) / 2.
Given the base of 4 inches, and the area of 7 square inches, we can rearrange the formula to solve for height:
height = (2 * Area) / base = (2 * 7 square inches) / 4 inches = 14 square inches / 4 inches = 3.5 inches.
Therefore, the height of the sandwich is 3.5 inches.
Use the image to answer the question.
An illustration shows a triangle with a base of 20 inches and a perpendicular height of 6 inches. The height is a dashed line from the top vertex to the base, splitting the triangle in half, thus forming two triangles. A right angle symbol is shown where the dashed line meets the base, on the right side.
What is the area of the triangle shown?
(1 point)
Responses
30 square inches
30 square inches
120 square inches
120 square inches
26 square inches
26 square inches
60 square inches
60 square inches
The area of a triangle can be calculated using the formula: Area = (base * height) / 2.
From the given information, we know that the base of the triangle is 20 inches and the perpendicular height is 6 inches.
Plugging these values into the formula, we get: Area = (20 inches * 6 inches) / 2 = 120 square inches / 2 = 60 square inches.
Therefore, the area of the triangle shown is 60 square inches.