PSLE The perimeter of figure RSTUV is (7
k + 16) cm. The perimeter of square RSTU is 24 cm.
- Find the perimeter of triangle RUV in terms of k.
- The perimeter of figure RSTUV is 72 cm. What is the value of k? 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
= 7
k + 16 - 6 - 6
= (7
k + 4) cm
(b)
7
k + 16 = 72
7
k = 72 - 16
7
k = 56
k = 56 ÷ 7 = 8
Value of
k = 8 cm
Answer(s): (a) (7
k + 4) cm; (b) 8 cm