PSLE The perimeter of figure UVWXY is (5
j + 16) cm. The perimeter of square UVWX is 8 cm.
- Find the perimeter of triangle UXY in terms of j.
- The perimeter of figure UVWXY is 61 cm. What is the value of j? 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
= 5
j + 16 - 2 - 2
= (5
j + 12) cm
(b)
5
j + 16 = 61
5
j = 61 - 16
5
j = 45
j = 45 ÷ 5 = 9
Value of
j = 9 cm
Answer(s): (a) (5
j + 12) cm; (b) 9 cm