The figure not drawn to scale shows Square T and Square U inside Square PQRS. The area of Square T is 16 m
2 and the area of Square PQRS is 144 m
2.
- Find the length of one side of Square U.
- Find the perimeter of the shaded region.
(a)
Length of Square T
= √16
= 4 m
Length of Square PQRS
= √144
= 12 m
Length of Square U
= 12 - 4
= 8 m
(b)
Perimeter of the shaded region
= (2 x 12) + (2 x 8)
= 24 + 16
= 40 m
Answer(s): (a) 12 m; (b) 40 m