The figure not drawn to scale shows Square W and Square X inside Square STUV. The area of Square W is 9 cm
2 and the area of Square STUV is 64 cm
2.
- Find the length of one side of Square X.
- Find the perimeter of the shaded region.
(a)
Length of Square W
= √9
= 3 cm
Length of Square STUV
= √64
= 8 cm
Length of Square X
= 8 - 3
= 5 cm
(b)
Perimeter of the shaded region
= (2 x 8) + (2 x 5)
= 16 + 10
= 26 cm
Answer(s): (a) 8 cm; (b) 26 cm