PSLE The perimeter of figure TUVWX is (5
p + 16) cm. The perimeter of square TUVW is 16 cm.
- Find the perimeter of triangle TWX in terms of p.
- The perimeter of figure TUVWX is 61 cm. What is the value of p? Give your answer in cm.
(a)
Length of the square
= 16 ÷ 4
= 4 cm
Total lengths of TU, UV and VW
= 3 x 4
= 12 cm
Perimeter of triangle TWX
= 5
p + 16 - 4 - 4
= (5
p + 8) cm
(b)
5
p + 16 = 61
5
p = 61 - 16
5
p = 45
p = 45 ÷ 5 = 9
Value of
p = 9 cm
Answer(s): (a) (5
p + 8) cm; (b) 9 cm