PSLE The perimeter of figure TUVWX is (9
a + 22) cm. The perimeter of square TUVW is 8 cm.
- Find the perimeter of triangle TWX in terms of a.
- The perimeter of figure TUVWX is 94 cm. What is the value of a? Give your answer in cm.
(a)
Length of the square
= 8 ÷ 4
= 2 cm
Total lengths of TU, UV and VW
= 3 x 2
= 6 cm
Perimeter of triangle TWX
= 9
a + 22 - 2 - 2
= (9
a + 18) cm
(b)
9
a + 22 = 94
9
a = 94 - 22
9
a = 72
a = 72 ÷ 9 = 8
Value of
a = 8 cm
Answer(s): (a) (9
a + 18) cm; (b) 8 cm