PSLE The perimeter of figure UVWXY is (4
x + 22) cm. The perimeter of square UVWX is 20 cm.
- Find the perimeter of triangle UXY in terms of x.
- The perimeter of figure UVWXY is 54 cm. What is the value of x? Give your answer in cm.
(a)
Length of the square
= 20 ÷ 4
= 5 cm
Total lengths of UV, VW and WX
= 3 x 5
= 15 cm
Perimeter of triangle UXY
= 4
x + 22 - 5 - 5
= (4
x + 12) cm
(b)
4
x + 22 = 54
4
x = 54 - 22
4
x = 32
x = 32 ÷ 4 = 8
Value of
x = 8 cm
Answer(s): (a) (4
x + 12) cm; (b) 8 cm