PSLE The perimeter of figure DEFGH is (6
m + 16) cm. The perimeter of square DEFG is 16 cm.
- Find the perimeter of triangle DGH in terms of m.
- The perimeter of figure DEFGH is 64 cm. What is the value of m? Give your answer in cm.
(a)
Length of the square
= 16 ÷ 4
= 4 cm
Total lengths of DE, EF and FG
= 3 x 4
= 12 cm
Perimeter of triangle DGH
= 6
m + 16 - 4 - 4
= (6
m + 8) cm
(b)
6
m + 16 = 64
6
m = 64 - 16
6
m = 48
m = 48 ÷ 6 = 8
Value of
m = 8 cm
Answer(s): (a) (6
m + 8) cm; (b) 8 cm