The figure not drawn to scale shows Square X and Square Y inside Square TUVW. The area of Square X is 16 cm
2 and the area of Square TUVW is 81 cm
2.
- Find the length of one side of Square Y.
- Find the perimeter of the shaded region.
(a)
Length of Square X
= √16
= 4 cm
Length of Square TUVW
= √81
= 9 cm
Length of Square Y
= 9 - 4
= 5 cm
(b)
Perimeter of the shaded region
= (2 x 9) + (2 x 5)
= 18 + 10
= 28 cm
Answer(s): (a) 9 cm; (b) 28 cm