Question

A 4-inch-wide by 6-inch-long picture
is placed on a solid mat that forms a frame around it. The mat is
8 inches long. The mat and the picture are similar rectangles. What is
the area of the mat?

I couldn't find the width of the mat. If the picture and the mat are similar rectangles, does it mean the width is 4 inch.? Then the answer is 8in. x 4in. = 32 square inches
I don't get it.

Answer 1

Width= 4*1.33= 5.33?

Answer 2

yes.

Answer 3

If the rectangles are similar then their sides must be in same proportion
L/B=l/b
where L is length of mat, B is breadth of mat, l is length of picture and b is breadth of picture.

8/B=6/4
=>B=16/3 inches

AREA of mat = LB = 8*16/3=128/3=42.666 inch²