Final answer:
The perimeter of Sharon's new mural, which is 1.25 feet longer than the original length of 5 feet, is 18.5 feet.
Step-by-step explanation:
To determine the perimeter of Sharon's new mural, we must first understand the concept of perimeter.
The perimeter is the total distance around the edge of a polygon.
For a rectangle, the perimeter formula is P = 2l + 2w, where l is the length and w is the width of the rectangle.
The original mural measures 3 feet by 5 feet, so its perimeter is P = 2(3) + 2(5)
= 6 + 10
= 16 feet.
Sharon creates a new mural that is 1.25 feet longer than the original length of 5 feet;
therefore, the length of the new mural is 5 + 1.25
= 6.25 feet.
The width remains unchanged at 3 feet.
To find the perimeter of Sharon's new mural, we use the same formula and plug in the new dimensions:
P = 2(6.25) + 2(3)
= 12.5 + 6
= 18.5 feet.
Thus, the perimeter of Sharon's new mural is 18.5 feet.