PSLE The perimeter of figure TUVWX is (6
v + 17) cm. The perimeter of square TUVW is 20 cm.
- Find the perimeter of triangle TWX in terms of v.
- The perimeter of figure TUVWX is 53 cm. What is the value of v? Give your answer in cm.
(a)
Length of the square
= 20 ÷ 4
= 5 cm
Total lengths of TU, UV and VW
= 3 x 5
= 15 cm
Perimeter of triangle TWX
= 6
v + 17 - 5 - 5
= (6
v + 7) cm
(b)
6
v + 17 = 53
6
v = 53 - 17
6
v = 36
v = 36 ÷ 6 = 6
Value of
v = 6 cm
Answer(s): (a) (6
v + 7) cm; (b) 6 cm