PSLE The perimeter of figure RSTUV is (8
n + 16) cm. The perimeter of square RSTU is 12 cm.
- Find the perimeter of triangle RUV in terms of n.
- The perimeter of figure RSTUV is 72 cm. What is the value of n? 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
= 8
n + 16 - 3 - 3
= (8
n + 10) cm
(b)
8
n + 16 = 72
8
n = 72 - 16
8
n = 56
n = 56 ÷ 8 = 7
Value of
n = 7 cm
Answer(s): (a) (8
n + 10) cm; (b) 7 cm