PSLE The perimeter of figure UVWXY is (8
z + 24) cm. The perimeter of square UVWX is 12 cm.
- Find the perimeter of triangle UXY in terms of z.
- The perimeter of figure UVWXY is 56 cm. What is the value of z? Give your answer in cm.
(a)
Length of the square
= 12 ÷ 4
= 3 cm
Total lengths of UV, VW and WX
= 3 x 3
= 9 cm
Perimeter of triangle UXY
= 8
z + 24 - 3 - 3
= (8
z + 18) cm
(b)
8
z + 24 = 56
8
z = 56 - 24
8
z = 32
z = 32 ÷ 8 = 4
Value of
z = 4 cm
Answer(s): (a) (8
z + 18) cm; (b) 4 cm