The figure not drawn to scale shows Square T and Square U inside Square PQRS. The area of Square T is 36 cm
2 and the area of Square PQRS is 225 cm
2.
- Find the length of one side of Square U.
- Find the perimeter of the shaded region.
(a)
Length of Square T
= √36
= 6 cm
Length of Square PQRS
= √225
= 15 cm
Length of Square U
= 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