The figure is made up of 4 identical rectangles, N, P, Q and R. The perimeter of rectangle N is 84 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 = 84
1 u = 84 ÷ 6 = 14
Breadth of Rectangle P = 14 cm
(b)
Length of Rectangle Q
= 2 u
= 2 x 14
= 28 cm
Area of Rectangle Q
= 28 x 14
= 392 cm
2 Answer(s): (a) 14 cm; (b) 392 cm
2