The small boxes in Figures A and B at the right are congruent squares. The perimeter of Figure A is 48 inches. What is the perimeter of Figure B? (The perimeter of a figure is the distance around it.)
Let S be the side of the square in inches.
Perimeter of Figure A = 5S+5S+1S+5S = 16S = 48 inches
One side of the square S = 48/3 = 16 inches
Perimeter of Figure B = 3S+3S+3S+4S+3S+4S = 20S = 20 *3 = 60
Each of the boxes in the figure at the right is a square. How many different squares can be traced using the lines in the figure?
Number of 1x1 squares that can be traced = Number of squares in the figure = 21
Number of 2x2 squares that can be traced = 12
Number of 3x3 squares that can be traced = 5
Total number of squares = 21+12+5= 38
38 different squares can be traced using the lines in the figure.