PSLE The perimeter of figure RSTUV is (7
i + 15) cm. The perimeter of square RSTU is 16 cm.
- Find the perimeter of triangle RUV in terms of i.
- The perimeter of figure RSTUV is 71 cm. What is the value of i? Give your answer in cm.
(a)
Length of the square
= 16 ÷ 4
= 4 cm
Total lengths of RS, ST and TU
= 3 x 4
= 12 cm
Perimeter of triangle RUV
= 7
i + 15 - 4 - 4
= (7
i + 7) cm
(b)
7
i + 15 = 71
7
i = 71 - 15
7
i = 56
i = 56 ÷ 7 = 8
Value of
i = 8 cm
Answer(s): (a) (7
i + 7) cm; (b) 8 cm