PSLE The perimeter of figure TUVWX is (9
w + 22) cm. The perimeter of square TUVW is 12 cm.
- Find the perimeter of triangle TWX in terms of w.
- The perimeter of figure TUVWX is 76 cm. What is the value of w? 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
= 9
w + 22 - 3 - 3
= (9
w + 16) cm
(b)
9
w + 22 = 76
9
w = 76 - 22
9
w = 54
w = 54 ÷ 9 = 6
Value of
w = 6 cm
Answer(s): (a) (9
w + 16) cm; (b) 6 cm