Question

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 m2

Answer 1

You start out with an inequality that looks like this: x times 14 divided by 2 ≤ 112 (Obviously replace the times and divided by words with symbols). This is because the area of a triangle is base time height divided by 2. So, x (The height) times 14 (The base) divided by 2 must be less than or equal to 112 (The area). Then, solve for x. Multiply both sides by 2 and then divide both sides by 14. You end up with a final answer of x ≤ 16.
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