PSLE The perimeter of figure NPQRS is (9
r + 12) cm. The perimeter of square NPQR is 12 cm.
- Find the perimeter of triangle NRS in terms of r.
- The perimeter of figure NPQRS is 93 cm. What is the value of r? Give your answer in cm.
(a)
Length of the square
= 12 ÷ 4
= 3 cm
Total lengths of NP, PQ and QR
= 3 x 3
= 9 cm
Perimeter of triangle NRS
= 9
r + 12 - 3 - 3
= (9
r + 6) cm
(b)
9
r + 12 = 93
9
r = 93 - 12
9
r = 81
r = 81 ÷ 9 = 9
Value of
r = 9 cm
Answer(s): (a) (9
r + 6) cm; (b) 9 cm