Question

A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?

Answer 1

18 Inc should be the answer

Answer 2

Answer:

(8x+24) inches.

Step-by-step explanation:

We have that,

Length of the photograph is 5 inch and Width of the photograph = 7 inch

Now, the dimensions of the frame are $2x$ inches larger than the dimensions of the photograph.

So, the length of the frame is (2x+5) inches and the width of the frame (2x+7) inches.

As, we know, the frame is in rectangular shape.

Perimeter of a rectangle = 2(Length + Width) = 2(2x+5+2x+7) = 2(4x+12) = 8x+24 inches.

Hence, the perimeter of the frame is represented by the expression (8x+24) inches.