PSLE The perimeter of figure CDEFG is (4
i + 18) cm. The perimeter of square CDEF is 24 cm.
- Find the perimeter of triangle CFG in terms of i.
- The perimeter of figure CDEFG is 46 cm. What is the value of i? Give your answer in cm.
(a)
Length of the square
= 24 ÷ 4
= 6 cm
Total lengths of CD, DE and EF
= 3 x 6
= 18 cm
Perimeter of triangle CFG
= 4
i + 18 - 6 - 6
= (4
i + 6) cm
(b)
4
i + 18 = 46
4
i = 46 - 18
4
i = 28
i = 28 ÷ 4 = 7
Value of
i = 7 cm
Answer(s): (a) (4
i + 6) cm; (b) 7 cm