PSLE The perimeter of figure PQRST is (7
v + 19) cm. The perimeter of square PQRS is 12 cm.
- Find the perimeter of triangle PST in terms of v.
- The perimeter of figure PQRST is 54 cm. What is the value of v? Give your answer in cm.
(a)
Length of the square
= 12 ÷ 4
= 3 cm
Total lengths of PQ, QR and RS
= 3 x 3
= 9 cm
Perimeter of triangle PST
= 7
v + 19 - 3 - 3
= (7
v + 13) cm
(b)
7
v + 19 = 54
7
v = 54 - 19
7
v = 35
v = 35 ÷ 7 = 5
Value of
v = 5 cm
Answer(s): (a) (7
v + 13) cm; (b) 5 cm