Question

perimeter = 26cm 3x - 4

Explanation:

Step1: Recall perimeter formula for rectangle

For a rectangle, perimeter $P = 2(l + w)$. Here assume length and width are both $3x - 4$ (since it looks like a square - all sides equal), so $P=4(3x - 4)$.

Step2: Set up the equation

We know $P = 26$, so $4(3x - 4)=26$.

Step3: Expand the left - hand side

$12x-16 = 26$.

Step4: Add 16 to both sides

$12x=26 + 16$, so $12x=42$.

Step5: Solve for x

$x=\frac{42}{12}=\frac{7}{2}=3.5$.

Answer:

$x = 3.5$