PSLE The perimeter of figure RSTUV is (9
w + 11) cm. The perimeter of square RSTU is 16 cm.
- Find the perimeter of triangle RUV in terms of w.
- The perimeter of figure RSTUV is 56 cm. What is the value of w? 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
= 9
w + 11 - 4 - 4
= (9
w + 3) cm
(b)
9
w + 11 = 56
9
w = 56 - 11
9
w = 45
w = 45 ÷ 9 = 5
Value of
w = 5 cm
Answer(s): (a) (9
w + 3) cm; (b) 5 cm