PSLE The perimeter of figure TUVWX is (7
m + 24) cm. The perimeter of square TUVW is 24 cm.
- Find the perimeter of triangle TWX in terms of m.
- The perimeter of figure TUVWX is 80 cm. What is the value of m? Give your answer in cm.
(a)
Length of the square
= 24 ÷ 4
= 6 cm
Total lengths of TU, UV and VW
= 3 x 6
= 18 cm
Perimeter of triangle TWX
= 7
m + 24 - 6 - 6
= (7
m + 12) cm
(b)
7
m + 24 = 80
7
m = 80 - 24
7
m = 56
m = 56 ÷ 7 = 8
Value of
m = 8 cm
Answer(s): (a) (7
m + 12) cm; (b) 8 cm