Question

Tara places a picture in a picture frame. The width of the picture is x inches, and the length of the picture is 2 inches more than the width. The frame is 1 inch wide on all sides. The perimeter of the outside of the picture frame is 28 inches.

Tara writes the equation below to find the width, in inches, of the picture.

2(x + 2) + 2(x + 4) = 28

What is the width, in inches, of the picture?

Answer 1

The width of the picture would be 4 inches.
2(4 + 2) + 2(4 + 4) = 28
To completely find out if this is correct, we must use Parentheses, Exponents, Multiplication, Division, Addition, Subtraction AKA PEMDAS.
4 + 2 = 6
4 + 4 = 8
2 x 6 + 2 x 8 = 28
Since there are no exponents, we move on to the next step multiplication.
2 x 6 = 12
2 x 8 = 16
12 + 16 = 28
Now there is no division, so now we move to the next step addition.
12 + 16 = 28
So we have the correct answer for our width.