PSLE The perimeter of figure LMNPQ is (5
a + 24) cm. The perimeter of square LMNP is 24 cm.
- Find the perimeter of triangle LPQ in terms of a.
- The perimeter of figure LMNPQ is 59 cm. What is the value of a? Give your answer in cm.
(a)
Length of the square
= 24 ÷ 4
= 6 cm
Total lengths of LM, MN and NP
= 3 x 6
= 18 cm
Perimeter of triangle LPQ
= 5
a + 24 - 6 - 6
= (5
a + 12) cm
(b)
5
a + 24 = 59
5
a = 59 - 24
5
a = 35
a = 35 ÷ 5 = 7
Value of
a = 7 cm
Answer(s): (a) (5
a + 12) cm; (b) 7 cm