The figure not drawn to scale shows Square S and Square T inside Square NPQR. The area of Square S is 25 cm
2 and the area of Square NPQR is 144 cm
2.
- Find the length of one side of Square T.
- Find the perimeter of the shaded region.
(a)
Length of Square S
= √25
= 5 cm
Length of Square NPQR
= √144
= 12 cm
Length of Square T
= 12 - 5
= 7 cm
(b)
Perimeter of the shaded region
= (2 x 12) + (2 x 7)
= 24 + 14
= 38 cm
Answer(s): (a) 12 cm; (b) 38 cm