PSLE The perimeter of figure QRSTU is (5
z + 17) cm. The perimeter of square QRST is 12 cm.
- Find the perimeter of triangle QTU in terms of z.
- The perimeter of figure QRSTU is 42 cm. What is the value of z? Give your answer in cm.
(a)
Length of the square
= 12 ÷ 4
= 3 cm
Total lengths of QR, RS and ST
= 3 x 3
= 9 cm
Perimeter of triangle QTU
= 5
z + 17 - 3 - 3
= (5
z + 11) cm
(b)
5
z + 17 = 42
5
z = 42 - 17
5
z = 25
z = 25 ÷ 5 = 5
Value of
z = 5 cm
Answer(s): (a) (5
z + 11) cm; (b) 5 cm