The figure not drawn to scale shows Square H and Square J inside Square DEFG. The area of Square H is 9 cm
2 and the area of Square DEFG is 144 cm
2.
- Find the length of one side of Square J.
- Find the perimeter of the shaded region.
(a)
Length of Square H
= √9
= 3 cm
Length of Square DEFG
= √144
= 12 cm
Length of Square J
= 12 - 3
= 9 cm
(b)
Perimeter of the shaded region
= (2 x 12) + (2 x 9)
= 24 + 18
= 42 cm
Answer(s): (a) 12 cm; (b) 42 cm