PSLE The perimeter of figure MNPQR is (6
t + 23) cm. The perimeter of square MNPQ is 24 cm.
- Find the perimeter of triangle MQR in terms of t.
- The perimeter of figure MNPQR is 71 cm. What is the value of t? 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
= 6
t + 23 - 6 - 6
= (6
t + 11) cm
(b)
6
t + 23 = 71
6
t = 71 - 23
6
t = 48
t = 48 ÷ 6 = 8
Value of
t = 8 cm
Answer(s): (a) (6
t + 11) cm; (b) 8 cm