PSLE The perimeter of figure VWXYZ is (8
q + 23) cm. The perimeter of square VWXY is 8 cm.
- Find the perimeter of triangle VYZ in terms of q.
- The perimeter of figure VWXYZ is 87 cm. What is the value of q? Give your answer in cm.
(a)
Length of the square
= 8 ÷ 4
= 2 cm
Total lengths of VW, WX and XY
= 3 x 2
= 6 cm
Perimeter of triangle VYZ
= 8
q + 23 - 2 - 2
= (8
q + 19) cm
(b)
8
q + 23 = 87
8
q = 87 - 23
8
q = 64
q = 64 ÷ 8 = 8
Value of
q = 8 cm
Answer(s): (a) (8
q + 19) cm; (b) 8 cm