PSLE The perimeter of figure MNPQR is (7
z + 23) cm. The perimeter of square MNPQ is 8 cm.
- Find the perimeter of triangle MQR in terms of z.
- The perimeter of figure MNPQR is 86 cm. What is the value of z? Give your answer in cm.
(a)
Length of the square
= 8 ÷ 4
= 2 cm
Total lengths of MN, NP and PQ
= 3 x 2
= 6 cm
Perimeter of triangle MQR
= 7
z + 23 - 2 - 2
= (7
z + 19) cm
(b)
7
z + 23 = 86
7
z = 86 - 23
7
z = 63
z = 63 ÷ 7 = 9
Value of
z = 9 cm
Answer(s): (a) (7
z + 19) cm; (b) 9 cm