The figure not drawn to scale shows Square Q and Square R inside Square LMNP. The area of Square Q is 36 cm
2 and the area of Square LMNP is 225 cm
2.
- Find the length of one side of Square R.
- Find the perimeter of the shaded region.
(a)
Length of Square Q
= √36
= 6 cm
Length of Square LMNP
= √225
= 15 cm
Length of Square R
= 15 - 6
= 9 cm
(b)
Perimeter of the shaded region
= (2 x 15) + (2 x 9)
= 30 + 18
= 48 cm
Answer(s): (a) 15 cm; (b) 48 cm