PSLE The perimeter of figure LMNPQ is (7
d + 21) cm. The perimeter of square LMNP is 8 cm.
- Find the perimeter of triangle LPQ in terms of d.
- The perimeter of figure LMNPQ is 49 cm. What is the value of d? Give your answer in cm.
(a)
Length of the square
= 8 ÷ 4
= 2 cm
Total lengths of LM, MN and NP
= 3 x 2
= 6 cm
Perimeter of triangle LPQ
= 7
d + 21 - 2 - 2
= (7
d + 17) cm
(b)
7
d + 21 = 49
7
d = 49 - 21
7
d = 28
d = 28 ÷ 7 = 4
Value of
d = 4 cm
Answer(s): (a) (7
d + 17) cm; (b) 4 cm