Final answer:
Given the area and height of a rectangle, we find the length by dividing the area by the height, then use that equivalent length and given height value to calculate the perimeter using the formula 2*(length + width), which equals to 50 cm.
Step-by-step explanation:
The problem requires us to find the perimeter of a rectangle given its area and height. The formula for the area of a rectangle is length * width, where in this case, height acts as the width. The area is given as 154 square cm and the height as 11 cm. To find the length of the rectangle, we can rearrange the formula to be length = area / width, which in this case equals to 154 cm / 11 cm = 14 cm.
Next, we use these values to find the perimeter of the rectangle using the formula 2*(length + width). The perimeter of this rectangle is 2*(14 cm + 11 cm) = 50 cm.
Learn more about Perimeter of a Rectangle