A triangle has a height of x meters and a base of 14 meters. Write and solve an inequality for the values of x that give an area of at most 112 m2003-06-04-00-00_files/i0230000.jpg.
A.
2003-06-04-00-00_files/i0230001.jpg m
B.
2003-06-04-00-00_files/i0230002.jpg m
C.
2003-06-04-00-00_files/i0230003.jpg m
D.
2003-06-04-00-00_files/i0230004.jpg m
since a = bh/2, we have
a = 14x/2 = 7x
so,
7x <= 112
x <= 16
Which model represents the equation below?
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b
To find the area of a triangle, we use the formula:
Area = (1/2) * base * height
Given that the base of the triangle is 14 meters, and we want to find an area of at most 112 square meters, we can set up the inequality:
(1/2) * 14 * x ≤ 112
Simplifying:
7x ≤ 112
Now, solve for x:
x ≤ 112 / 7
x ≤ 16
So, the values of x that give an area of at most 112 square meters are less than or equal to 16.
Answer: C. 2003-06-04-00-00_files/i0230003.jpg m