PSLE The perimeter of figure CDEFG is (5
q + 17) cm. The perimeter of square CDEF is 20 cm.
- Find the perimeter of triangle CFG in terms of q.
- The perimeter of figure CDEFG is 57 cm. What is the value of q? Give your answer in cm.
(a)
Length of the square
= 20 ÷ 4
= 5 cm
Total lengths of CD, DE and EF
= 3 x 5
= 15 cm
Perimeter of triangle CFG
= 5
q + 17 - 5 - 5
= (5
q + 7) cm
(b)
5
q + 17 = 57
5
q = 57 - 17
5
q = 40
q = 40 ÷ 5 = 8
Value of
q = 8 cm
Answer(s): (a) (5
q + 7) cm; (b) 8 cm