PSLE The perimeter of figure NPQRS is (6
p + 25) cm. The perimeter of square NPQR is 16 cm.
- Find the perimeter of triangle NRS in terms of p.
- The perimeter of figure NPQRS is 61 cm. What is the value of p? Give your answer in cm.
(a)
Length of the square
= 16 ÷ 4
= 4 cm
Total lengths of NP, PQ and QR
= 3 x 4
= 12 cm
Perimeter of triangle NRS
= 6
p + 25 - 4 - 4
= (6
p + 17) cm
(b)
6
p + 25 = 61
6
p = 61 - 25
6
p = 36
p = 36 ÷ 6 = 6
Value of
p = 6 cm
Answer(s): (a) (6
p + 17) cm; (b) 6 cm