Figures A and B are each made up of 3 identical rectangles. Both figures have the same area of 486 cm
2 each. What is the perimeter of Figure B?
Area of one rectangle
= 486 ÷ 3
= 162 cm2
Length of each rectangle = 2 Breadths of each rectangle.
Cut each rectangle into 2 squares.
Area of each square
= 162 ÷ 2
= 81 cm2
Breadth
= √81
= 9 cm
Length
= 9 x 2
= 18 cm
Perimeter of Figure B
= 4 x 18 + 6 x 9
= 126 cm
Answer(s): 126 cm