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A rectangular mural measures 3 feet by 5 feet. Sharon creates a new mural that is 1.25 feet longer.

What is the perimeter of Sharon's new mural?

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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.

User Lou Zell
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