PSLE The perimeter of figure NPQRS is (7
n + 16) cm. The perimeter of square NPQR is 8 cm.
- Find the perimeter of triangle NRS in terms of n.
- The perimeter of figure NPQRS is 51 cm. What is the value of n? Give your answer in cm.
(a)
Length of the square
= 8 ÷ 4
= 2 cm
Total lengths of NP, PQ and QR
= 3 x 2
= 6 cm
Perimeter of triangle NRS
= 7
n + 16 - 2 - 2
= (7
n + 12) cm
(b)
7
n + 16 = 51
7
n = 51 - 16
7
n = 35
n = 35 ÷ 7 = 5
Value of
n = 5 cm
Answer(s): (a) (7
n + 12) cm; (b) 5 cm