Question

Anya bought a picture frame with an area of 81 square inches. She wants to order a ribbon to put around the frame. How much ribbon must she buy to have the exact amount that she needs?

Answer 1

Anya needs to calculate the perimeter of the square picture frame, which is 36 inches, to know the exact length of ribbon to purchase.

Step-by-step explanation:

To find out how much ribbon Anya needs to buy for the picture frame, we need to calculate the perimeter of the frame. Since we know the area of the picture frame is 81 square inches and the area is calculated by multiplying the length by the width for rectangles, we can deduce that for a square (where all sides are equal), each side length must be the square root of the area. In this case, the square root of 81 is 9, so each side of the picture frame is 9 inches long.

Anya needs to buy a ribbon that will go around the entire frame, which is the same as finding the perimeter of the square. The perimeter is the sum of all sides, so for a square picture frame, this is calculated by multiplying one side length by 4. Therefore, Anya needs to buy 9 inches x 4 sides = 36 inches of ribbon to put around the frame.