PSLE The perimeter of figure UVWXY is (10
v + 22) cm. The perimeter of square UVWX is 12 cm.
- Find the perimeter of triangle UXY in terms of v.
- The perimeter of figure UVWXY is 82 cm. What is the value of v? Give your answer in cm.
(a)
Length of the square
= 12 ÷ 4
= 3 cm
Total lengths of UV, VW and WX
= 3 x 3
= 9 cm
Perimeter of triangle UXY
= 10
v + 22 - 3 - 3
= (10
v + 16) cm
(b)
10
v + 22 = 82
10
v = 82 - 22
10
v = 60
v = 60 ÷ 10 = 6
Value of
v = 6 cm
Answer(s): (a) (10
v + 16) cm; (b) 6 cm