PSLE The perimeter of figure LMNPQ is (4
m + 20) cm. The perimeter of square LMNP is 16 cm.
- Find the perimeter of triangle LPQ in terms of m.
- The perimeter of figure LMNPQ is 52 cm. What is the value of m? Give your answer in cm.
(a)
Length of the square
= 16 ÷ 4
= 4 cm
Total lengths of LM, MN and NP
= 3 x 4
= 12 cm
Perimeter of triangle LPQ
= 4
m + 20 - 4 - 4
= (4
m + 12) cm
(b)
4
m + 20 = 52
4
m = 52 - 20
4
m = 32
m = 32 ÷ 4 = 8
Value of
m = 8 cm
Answer(s): (a) (4
m + 12) cm; (b) 8 cm