PSLE The perimeter of figure DEFGH is (4
t + 25) cm. The perimeter of square DEFG is 12 cm.
- Find the perimeter of triangle DGH in terms of t.
- The perimeter of figure DEFGH is 61 cm. What is the value of t? Give your answer in cm.
(a)
Length of the square
= 12 ÷ 4
= 3 cm
Total lengths of DE, EF and FG
= 3 x 3
= 9 cm
Perimeter of triangle DGH
= 4
t + 25 - 3 - 3
= (4
t + 19) cm
(b)
4
t + 25 = 61
4
t = 61 - 25
4
t = 36
t = 36 ÷ 4 = 9
Value of
t = 9 cm
Answer(s): (a) (4
t + 19) cm; (b) 9 cm