The figure is made up of 4 identical rectangles, Y, Z, A and B. The perimeter of rectangle Y is 96 cm.
- What is the breadth of rectangle Z?
- Find the area of rectangle A.
(a)
Rectangles Y, Z, A and B are identical.
Breadth of Rectangle Y = 1 u
Length of Rectangle Z = 2 u
Perimeter of Rectangle Y
= 1 u + 1 u + 2 u + 2 u
= 6 u
6 u = 96
1 u = 96 ÷ 6 = 16
Breadth of Rectangle Z = 16 cm
(b)
Length of Rectangle A
= 2 u
= 2 x 16
= 32 cm
Area of Rectangle A
= 32 x 16
= 512 cm
2 Answer(s): (a) 16 cm; (b) 512 cm
2