PSLE The perimeter of figure TUVWX is (10
j + 14) cm. The perimeter of square TUVW is 12 cm.
- Find the perimeter of triangle TWX in terms of j.
- The perimeter of figure TUVWX is 104 cm. What is the value of j? Give your answer in cm.
(a)
Length of the square
= 12 ÷ 4
= 3 cm
Total lengths of TU, UV and VW
= 3 x 3
= 9 cm
Perimeter of triangle TWX
= 10
j + 14 - 3 - 3
= (10
j + 8) cm
(b)
10
j + 14 = 104
10
j = 104 - 14
10
j = 90
j = 90 ÷ 10 = 9
Value of
j = 9 cm
Answer(s): (a) (10
j + 8) cm; (b) 9 cm