Question

Wilma wants to frame a square picture of Pebbles. She plans to put a 2cm border around the picture. Write an expression that represents the

perimeter to model this situation. Expand your expression. If the total perimeter that the frame can fit is 96cm, what is the length of each side of the picture?

Answer 1

To find the length of each side of the square picture, we need to set up an expression for the perimeter of the frame and solve an equation. The length of each side of the picture is 22cm.

Step-by-step explanation:

To find the perimeter of the frame, we need to know the length of each side of the square picture. Let's represent the length of each side of the square picture as 'x'. Since Wilma plans to put a 2cm border around the picture, the dimensions of the frame will be (x + 2)cm by (x + 2)cm. The perimeter of the frame can then be represented as P = 2(x + 2) + 2(x + 2).

Expanding the expression, we get P = 2x + 4 + 2x + 4 = 4x + 8.

Given that the total perimeter that the frame can fit is 96cm, we can set up the equation 4x + 8 = 96. Solving for 'x', we have 4x = 88 and x = 22. Therefore, the length of each side of the picture is 22cm.