The figure is made up of 4 identical rectangles, N, P, Q and R. The perimeter of rectangle N is 114 cm.
- What is the breadth of rectangle P?
- Find the area of rectangle Q.
(a)
Rectangles N, P, Q and R are identical.
Breadth of Rectangle N = 1 u
Length of Rectangle P = 2 u
Perimeter of Rectangle N
= 1 u + 1 u + 2 u + 2 u
= 6 u
6 u = 114
1 u = 114 ÷ 6 = 19
Breadth of Rectangle P = 19 cm
(b)
Length of Rectangle Q
= 2 u
= 2 x 19
= 38 cm
Area of Rectangle Q
= 38 x 19
= 722 cm
2 Answer(s): (a) 19 cm; (b) 722 cm
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