PSLE The perimeter of figure RSTUV is (8
c + 18) cm. The perimeter of square RSTU is 24 cm.
- Find the perimeter of triangle RUV in terms of c.
- The perimeter of figure RSTUV is 82 cm. What is the value of c? 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
= 8
c + 18 - 6 - 6
= (8
c + 6) cm
(b)
8
c + 18 = 82
8
c = 82 - 18
8
c = 64
c = 64 ÷ 8 = 8
Value of
c = 8 cm
Answer(s): (a) (8
c + 6) cm; (b) 8 cm