PSLE The perimeter of figure UVWXY is (10
v + 24) cm. The perimeter of square UVWX is 8 cm.
- Find the perimeter of triangle UXY in terms of v.
- The perimeter of figure UVWXY is 114 cm. What is the value of v? Give your answer in cm.
(a)
Length of the square
= 8 ÷ 4
= 2 cm
Total lengths of UV, VW and WX
= 3 x 2
= 6 cm
Perimeter of triangle UXY
= 10
v + 24 - 2 - 2
= (10
v + 20) cm
(b)
10
v + 24 = 114
10
v = 114 - 24
10
v = 90
v = 90 ÷ 10 = 9
Value of
v = 9 cm
Answer(s): (a) (10
v + 20) cm; (b) 9 cm