PSLE The perimeter of figure TUVWX is (8
m + 23) cm. The perimeter of square TUVW is 12 cm.
- Find the perimeter of triangle TWX in terms of m.
- The perimeter of figure TUVWX is 95 cm. What is the value of m? 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
= 8
m + 23 - 3 - 3
= (8
m + 17) cm
(b)
8
m + 23 = 95
8
m = 95 - 23
8
m = 72
m = 72 ÷ 8 = 9
Value of
m = 9 cm
Answer(s): (a) (8
m + 17) cm; (b) 9 cm