The figure is made up of 4 identical rectangles, K, L, M and N. The perimeter of rectangle K is 102 cm.
- What is the breadth of rectangle L?
- Find the area of rectangle M.
(a)
Rectangles K, L, M and N are identical.
Breadth of Rectangle K = 1 u
Length of Rectangle L = 2 u
Perimeter of Rectangle K
= 1 u + 1 u + 2 u + 2 u
= 6 u
6 u = 102
1 u = 102 ÷ 6 = 17
Breadth of Rectangle L = 17 cm
(b)
Length of Rectangle M
= 2 u
= 2 x 17
= 34 cm
Area of Rectangle M
= 34 x 17
= 578 cm
2 Answer(s): (a) 17 cm; (b) 578 cm
2