The figure not drawn to scale shows Square W and Square X inside Square STUV. The area of Square W is 16 cm
2 and the area of Square STUV is 121 cm
2.
- Find the length of one side of Square X.
- Find the perimeter of the shaded region.
(a)
Length of Square W
= √16
= 4 cm
Length of Square STUV
= √121
= 11 cm
Length of Square X
= 11 - 4
= 7 cm
(b)
Perimeter of the shaded region
= (2 x 11) + (2 x 7)
= 22 + 14
= 36 cm
Answer(s): (a) 11 cm; (b) 36 cm