PSLE The perimeter of figure RSTUV is (10
z + 15) 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 85 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
= 10
z + 15 - 6 - 6
= (10
z + 3) cm
(b)
10
z + 15 = 85
10
z = 85 - 15
10
z = 70
z = 70 ÷ 10 = 7
Value of
z = 7 cm
Answer(s): (a) (10
z + 3) cm; (b) 7 cm