The figure not drawn to scale shows Square J and Square K inside Square EFGH. The area of Square J is 16 cm
2 and the area of Square EFGH is 169 cm
2.
- Find the length of one side of Square K.
- Find the perimeter of the shaded region.
(a)
Length of Square J
= √16
= 4 cm
Length of Square EFGH
= √169
= 13 cm
Length of Square K
= 13 - 4
= 9 cm
(b)
Perimeter of the shaded region
= (2 x 13) + (2 x 9)
= 26 + 18
= 44 cm
Answer(s): (a) 13 cm; (b) 44 cm