PSLE The perimeter of figure MNPQR is (6
n + 18) cm. The perimeter of square MNPQ is 12 cm.
- Find the perimeter of triangle MQR in terms of n.
- The perimeter of figure MNPQR is 66 cm. What is the value of n? Give your answer in cm.
(a)
Length of the square
= 12 ÷ 4
= 3 cm
Total lengths of MN, NP and PQ
= 3 x 3
= 9 cm
Perimeter of triangle MQR
= 6
n + 18 - 3 - 3
= (6
n + 12) cm
(b)
6
n + 18 = 66
6
n = 66 - 18
6
n = 48
n = 48 ÷ 6 = 8
Value of
n = 8 cm
Answer(s): (a) (6
n + 12) cm; (b) 8 cm