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A triangle has an area of
6e square feet. The height is 12 feet. Find the base.

$2$ . A triangle has an area of $6 e$ square feet. The height is $12$ feet. Find the base.

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Area and perimeter: word problems

Full solution

Q.

2

. A triangle has an area of

6 e

square feet. The height is

12

feet. Find the base.

Area Formula: We know the formula for the area of a triangle is $(\text{base} \times \text{height}) / 2$ .
Given Values: We have the area ( $6e$ square feet) and the height ( $12$ feet), so we plug those into the formula and solve for the base.
Equation Setup: Let's set up the equation: $(\text{base} \times 12) / 2 = 6e$ .
Eliminate Fraction: Now, multiply both sides by $2$ to get rid of the fraction: $\text{base} \times 12 = 6e \times 2$ .
Solve for Base: That gives us $\text{base} \times 12 = 12e$ .
Final Simplification: Next, divide both sides by $12$ to solve for the base: $\text{base} = \frac{12e}{12}$ .
Final Simplification: Next, divide both sides by $12$ to solve for the base: $\text{base} = \frac{12e}{12}$ . Simplify the equation: $\text{base} = e$ .

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