PSLE The perimeter of figure FGHJK is (9
k + 17) cm. The perimeter of square FGHJ is 12 cm.
- Find the perimeter of triangle FJK in terms of k.
- The perimeter of figure FGHJK is 53 cm. What is the value of k? Give your answer in cm.
(a)
Length of the square
= 12 ÷ 4
= 3 cm
Total lengths of FG, GH and HJ
= 3 x 3
= 9 cm
Perimeter of triangle FJK
= 9
k + 17 - 3 - 3
= (9
k + 11) cm
(b)
9
k + 17 = 53
9
k = 53 - 17
9
k = 36
k = 36 ÷ 9 = 4
Value of
k = 4 cm
Answer(s): (a) (9
k + 11) cm; (b) 4 cm