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?
A: 11 inches
B: 1.75 inches
C: 3.5 inches
D: 14 inches
To find the height of the sandwich, we can use the formula for the area of a triangle:
Area = (base * height) / 2
Given:
Base = 4 inches
Area = 7 square inches
Plugging in these values into the formula, we get:
7 = (4 * height) / 2
Multiplying both sides by 2, we get:
14 = 4 * height
Dividing both sides by 4, we get:
height = 14 / 4 = 3.5 inches
Therefore, the height of the sandwich is 3.5 inches.
So the correct answer is C: 3.5 inches.
The formula for the area of a triangle is:
Area = (base x height) / 2
We know that the base of the sandwich is 4 inches and the area is 7 square inches. Plugging in those values, we get:
7 = (4 x height) / 2
Simplifying and solving for height, we get:
7 = 2 x height
height = 7 / 2
height = 3.5 inches
Therefore, the height of the sandwich is 3.5 inches. The answer is C.
To find the height of the sandwich, we can use the formula for the area of a triangle:
Area = (base * height) / 2
Given that the base of the sandwich is 4 inches and the area is 7 square inches, we can plug these values into the formula and solve for the height:
7 = (4 * height) / 2
First, multiply both sides of the equation by 2 to get rid of the fraction:
14 = 4 * height
Next, divide both sides of the equation by 4 to isolate the height:
height = 14 / 4
Simplifying this expression gives us:
height = 3.5 inches
Therefore, the height of the sandwich is 3.5 inches.
The correct answer is C: 3.5 inches.