PSLE The perimeter of figure LMNPQ is (10
w + 15) cm. The perimeter of square LMNP is 12 cm.
- Find the perimeter of triangle LPQ in terms of w.
- The perimeter of figure LMNPQ is 65 cm. What is the value of w? Give your answer in cm.
(a)
Length of the square
= 12 ÷ 4
= 3 cm
Total lengths of LM, MN and NP
= 3 x 3
= 9 cm
Perimeter of triangle LPQ
= 10
w + 15 - 3 - 3
= (10
w + 9) cm
(b)
10
w + 15 = 65
10
w = 65 - 15
10
w = 50
w = 50 ÷ 10 = 5
Value of
w = 5 cm
Answer(s): (a) (10
w + 9) cm; (b) 5 cm