PSLE The perimeter of figure TUVWX is (7
w + 23) 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 65 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
= 7
w + 23 - 3 - 3
= (7
w + 17) cm
(b)
7
w + 23 = 65
7
w = 65 - 23
7
w = 42
w = 42 ÷ 7 = 6
Value of
w = 6 cm
Answer(s): (a) (7
w + 17) cm; (b) 6 cm