PSLE The perimeter of figure NPQRS is (9
f + 16) cm. The perimeter of square NPQR is 16 cm.
- Find the perimeter of triangle NRS in terms of f.
- The perimeter of figure NPQRS is 61 cm. What is the value of f? 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
= 9
f + 16 - 4 - 4
= (9
f + 8) cm
(b)
9
f + 16 = 61
9
f = 61 - 16
9
f = 45
f = 45 ÷ 9 = 5
Value of
f = 5 cm
Answer(s): (a) (9
f + 8) cm; (b) 5 cm