PSLE The perimeter of figure UVWXY is (7
r + 17) cm. The perimeter of square UVWX is 32 cm.
- Find the perimeter of triangle UXY in terms of r.
- The perimeter of figure UVWXY is 80 cm. What is the value of r? Give your answer in cm.
(a)
Length of the square
= 32 ÷ 4
= 8 cm
Total lengths of UV, VW and WX
= 3 x 8
= 24 cm
Perimeter of triangle UXY
= 7
r + 17 - 8 - 8
= (7
r + 1) cm
(b)
7
r + 17 = 80
7
r = 80 - 17
7
r = 63
r = 63 ÷ 7 = 9
Value of
r = 9 cm
Answer(s): (a) (7
r + 1) cm; (b) 9 cm