PSLE The perimeter of figure RSTUV is (9
z + 16) cm. The perimeter of square RSTU is 8 cm.
- Find the perimeter of triangle RUV in terms of z.
- The perimeter of figure RSTUV is 52 cm. What is the value of z? Give your answer in cm.
(a)
Length of the square
= 8 ÷ 4
= 2 cm
Total lengths of RS, ST and TU
= 3 x 2
= 6 cm
Perimeter of triangle RUV
= 9
z + 16 - 2 - 2
= (9
z + 12) cm
(b)
9
z + 16 = 52
9
z = 52 - 16
9
z = 36
z = 36 ÷ 9 = 4
Value of
z = 4 cm
Answer(s): (a) (9
z + 12) cm; (b) 4 cm