PSLE The perimeter of figure LMNPQ is (6
i + 24) cm. The perimeter of square LMNP is 20 cm.
- Find the perimeter of triangle LPQ in terms of i.
- The perimeter of figure LMNPQ is 60 cm. What is the value of i? 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
= 6
i + 24 - 5 - 5
= (6
i + 14) cm
(b)
6
i + 24 = 60
6
i = 60 - 24
6
i = 36
i = 36 ÷ 6 = 6
Value of
i = 6 cm
Answer(s): (a) (6
i + 14) cm; (b) 6 cm