PSLE The perimeter of figure UVWXY is (9
v + 25) cm. The perimeter of square UVWX is 16 cm.
- Find the perimeter of triangle UXY in terms of v.
- The perimeter of figure UVWXY is 106 cm. What is the value of v? Give your answer in cm.
(a)
Length of the square
= 16 ÷ 4
= 4 cm
Total lengths of UV, VW and WX
= 3 x 4
= 12 cm
Perimeter of triangle UXY
= 9
v + 25 - 4 - 4
= (9
v + 17) cm
(b)
9
v + 25 = 106
9
v = 106 - 25
9
v = 81
v = 81 ÷ 9 = 9
Value of
v = 9 cm
Answer(s): (a) (9
v + 17) cm; (b) 9 cm