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