PSLE The perimeter of figure RSTUV is (6
z + 16) cm. The perimeter of square RSTU is 16 cm.
- Find the perimeter of triangle RUV in terms of z.
- The perimeter of figure RSTUV is 70 cm. What is the value of z? Give your answer in cm.
(a)
Length of the square
= 16 ÷ 4
= 4 cm
Total lengths of RS, ST and TU
= 3 x 4
= 12 cm
Perimeter of triangle RUV
= 6
z + 16 - 4 - 4
= (6
z + 8) cm
(b)
6
z + 16 = 70
6
z = 70 - 16
6
z = 54
z = 54 ÷ 6 = 9
Value of
z = 9 cm
Answer(s): (a) (6
z + 8) cm; (b) 9 cm