PSLE The perimeter of figure RSTUV is (6
z + 16) cm. The perimeter of square RSTU is 24 cm.
- Find the perimeter of triangle RUV in terms of z.
- The perimeter of figure RSTUV is 58 cm. What is the value of z? Give your answer in cm.
(a)
Length of the square
= 24 ÷ 4
= 6 cm
Total lengths of RS, ST and TU
= 3 x 6
= 18 cm
Perimeter of triangle RUV
= 6
z + 16 - 6 - 6
= (6
z + 4) cm
(b)
6
z + 16 = 58
6
z = 58 - 16
6
z = 42
z = 42 ÷ 6 = 7
Value of
z = 7 cm
Answer(s): (a) (6
z + 4) cm; (b) 7 cm