Question

if the triangle and the rectangle have the same area, what is the value of n if m = 6?
a 6
b 3
c 12
d can not be determined

Explanation:

Step1: Define base variable

Let the base of both the triangle and rectangle be $b$.

Step2: Write area formulas

Area of triangle: $\frac{1}{2} \times b \times m$
Area of rectangle: $b \times n$

Step3: Set areas equal, substitute $m=6$

$$\frac{1}{2} \times b \times 6 = b \times n$$

Step4: Simplify and solve for $n$

Cancel $b$ from both sides: $\frac{1}{2} \times 6 = n$
$3 = n$

Answer:

B. 3