The figure not drawn to scale shows Square H and Square J inside Square DEFG. The area of Square H is 36 cm
2 and the area of Square DEFG is 169 cm
2.
- Find the length of one side of Square J.
- Find the perimeter of the shaded region.
(a)
Length of Square H
= √36
= 6 cm
Length of Square DEFG
= √169
= 13 cm
Length of Square J
= 13 - 6
= 7 cm
(b)
Perimeter of the shaded region
= (2 x 13) + (2 x 7)
= 26 + 14
= 40 cm
Answer(s): (a) 13 cm; (b) 40 cm