PSLE The perimeter of figure STUVW is (9
n + 16) cm. The perimeter of square STUV is 16 cm.
- Find the perimeter of triangle SVW in terms of n.
- The perimeter of figure STUVW is 70 cm. What is the value of n? Give your answer in cm.
(a)
Length of the square
= 16 ÷ 4
= 4 cm
Total lengths of ST, TU and UV
= 3 x 4
= 12 cm
Perimeter of triangle SVW
= 9
n + 16 - 4 - 4
= (9
n + 8) cm
(b)
9
n + 16 = 70
9
n = 70 - 16
9
n = 54
n = 54 ÷ 9 = 6
Value of
n = 6 cm
Answer(s): (a) (9
n + 8) cm; (b) 6 cm