PSLE The perimeter of figure STUVW is (9
n + 23) cm. The perimeter of square STUV is 24 cm.
- Find the perimeter of triangle SVW in terms of n.
- The perimeter of figure STUVW is 104 cm. What is the value of n? Give your answer in cm.
(a)
Length of the square
= 24 ÷ 4
= 6 cm
Total lengths of ST, TU and UV
= 3 x 6
= 18 cm
Perimeter of triangle SVW
= 9
n + 23 - 6 - 6
= (9
n + 11) cm
(b)
9
n + 23 = 104
9
n = 104 - 23
9
n = 81
n = 81 ÷ 9 = 9
Value of
n = 9 cm
Answer(s): (a) (9
n + 11) cm; (b) 9 cm