PSLE The perimeter of figure RSTUV is (5
q + 25) cm. The perimeter of square RSTU is 12 cm.
- Find the perimeter of triangle RUV in terms of q.
- The perimeter of figure RSTUV is 45 cm. What is the value of q? Give your answer in cm.
(a)
Length of the square
= 12 ÷ 4
= 3 cm
Total lengths of RS, ST and TU
= 3 x 3
= 9 cm
Perimeter of triangle RUV
= 5
q + 25 - 3 - 3
= (5
q + 19) cm
(b)
5
q + 25 = 45
5
q = 45 - 25
5
q = 20
q = 20 ÷ 5 = 4
Value of
q = 4 cm
Answer(s): (a) (5
q + 19) cm; (b) 4 cm