Question

the perimeter of a shape is 26 cm. the width is 9cm. what is the length?
4 cm
9 cm
26 cm
8 cm

Explanation:

Step1: Assume the shape is a rectangle (since perimeter, length, width are used, typical for rectangle). The formula for the perimeter of a rectangle is $P = 2\times (l + w)$, where $P$ is perimeter, $l$ is length, $w$ is width.

Step2: Substitute the known values. We know $P = 26$ cm and $w = 9$ cm. So, $26 = 2\times (l + 9)$. First, divide both sides by 2: $\frac{26}{2}=l + 9$, which simplifies to $13 = l + 9$.

Step3: Solve for $l$ by subtracting 9 from both sides: $l = 13 - 9 = 4$ cm.

Answer:

4 cm