PSLE The perimeter of figure MNPQR is (9
g + 16) cm. The perimeter of square MNPQ is 24 cm.
- Find the perimeter of triangle MQR in terms of g.
- The perimeter of figure MNPQR is 97 cm. What is the value of g? Give your answer in cm.
(a)
Length of the square
= 24 ÷ 4
= 6 cm
Total lengths of MN, NP and PQ
= 3 x 6
= 18 cm
Perimeter of triangle MQR
= 9
g + 16 - 6 - 6
= (9
g + 4) cm
(b)
9
g + 16 = 97
9
g = 97 - 16
9
g = 81
g = 81 ÷ 9 = 9
Value of
g = 9 cm
Answer(s): (a) (9
g + 4) cm; (b) 9 cm