PSLE The perimeter of figure LMNPQ is (10
q + 15) cm. The perimeter of square LMNP is 20 cm.
- Find the perimeter of triangle LPQ in terms of q.
- The perimeter of figure LMNPQ is 95 cm. What is the value of q? Give your answer in cm.
(a)
Length of the square
= 20 ÷ 4
= 5 cm
Total lengths of LM, MN and NP
= 3 x 5
= 15 cm
Perimeter of triangle LPQ
= 10
q + 15 - 5 - 5
= (10
q + 5) cm
(b)
10
q + 15 = 95
10
q = 95 - 15
10
q = 80
q = 80 ÷ 10 = 8
Value of
q = 8 cm
Answer(s): (a) (10
q + 5) cm; (b) 8 cm