PSLE The perimeter of figure PQRST is (4
x + 24) cm. The perimeter of square PQRS is 16 cm.
- Find the perimeter of triangle PST in terms of x.
- The perimeter of figure PQRST is 60 cm. What is the value of x? Give your answer in cm.
(a)
Length of the square
= 16 ÷ 4
= 4 cm
Total lengths of PQ, QR and RS
= 3 x 4
= 12 cm
Perimeter of triangle PST
= 4
x + 24 - 4 - 4
= (4
x + 16) cm
(b)
4
x + 24 = 60
4
x = 60 - 24
4
x = 36
x = 36 ÷ 4 = 9
Value of
x = 9 cm
Answer(s): (a) (4
x + 16) cm; (b) 9 cm