erica painted a picture of her dog the picture has an area of 3,600 cm2 and is a square. she has placed the picture in a frame that is 5 cm wide. what is the perimeter of the picture frame?
Please check your numbers.
A square picture has the same length and width. Each side of a 3,600 cm^2 picture is 60 cm.
To find the perimeter of the picture frame, we need to add the lengths of all four sides of the frame.
Let's first find the length of each side of the square picture by taking the square root of its area.
The area of the square picture is given as 3,600 cm². So, we take the square root to find the length of each side:
√3600 = 60 cm
Therefore, each side of the square picture is 60 cm long.
Now, let's calculate the overall dimensions of the framed picture by adding twice the width of the frame to each side of the square picture.
For each side, we add twice the width of the frame, which is 5 cm:
60 cm + (2 * 5 cm) = 60 cm + 10 cm = 70 cm
So, the overall dimensions of the framed picture are 70 cm on each side.
Finally, to find the perimeter of the frame, we add up the lengths of all four sides of the frame:
perimeter = 70 cm + 70 cm + 70 cm + 70 cm = 280 cm
Therefore, the perimeter of the picture frame is 280 cm.