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 picture are similar rectangles. What is the area of the mat?
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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
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
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