PSLE The perimeter of figure TUVWX is (8
j + 13) cm. The perimeter of square TUVW is 8 cm.
- Find the perimeter of triangle TWX in terms of j.
- The perimeter of figure TUVWX is 85 cm. What is the value of j? Give your answer in cm.
(a)
Length of the square
= 8 ÷ 4
= 2 cm
Total lengths of TU, UV and VW
= 3 x 2
= 6 cm
Perimeter of triangle TWX
= 8
j + 13 - 2 - 2
= (8
j + 9) cm
(b)
8
j + 13 = 85
8
j = 85 - 13
8
j = 72
j = 72 ÷ 8 = 9
Value of
j = 9 cm
Answer(s): (a) (8
j + 9) cm; (b) 9 cm