PSLE The perimeter of figure RSTUV is (9
x + 20) cm. The perimeter of square RSTU is 8 cm.
- Find the perimeter of triangle RUV in terms of x.
- The perimeter of figure RSTUV is 83 cm. What is the value of x? Give your answer in cm.
(a)
Length of the square
= 8 ÷ 4
= 2 cm
Total lengths of RS, ST and TU
= 3 x 2
= 6 cm
Perimeter of triangle RUV
= 9
x + 20 - 2 - 2
= (9
x + 16) cm
(b)
9
x + 20 = 83
9
x = 83 - 20
9
x = 63
x = 63 ÷ 9 = 7
Value of
x = 7 cm
Answer(s): (a) (9
x + 16) cm; (b) 7 cm