The figure not drawn to scale shows Square E and Square F inside Square ABCD. The area of Square E is 9 cm
2 and the area of Square ABCD is 144 cm
2.
- Find the length of one side of Square F.
- Find the perimeter of the shaded region.
(a)
Length of Square E
= √9
= 3 cm
Length of Square ABCD
= √144
= 12 cm
Length of Square F
= 12 - 3
= 9 cm
(b)
Perimeter of the shaded region
= (2 x 12) + (2 x 9)
= 24 + 18
= 42 cm
Answer(s): (a) 12 cm; (b) 42 cm