PSLE The perimeter of figure QRSTU is (10
z + 17) cm. The perimeter of square QRST is 8 cm.
- Find the perimeter of triangle QTU in terms of z.
- The perimeter of figure QRSTU is 47 cm. What is the value of z? Give your answer in cm.
(a)
Length of the square
= 8 ÷ 4
= 2 cm
Total lengths of QR, RS and ST
= 3 x 2
= 6 cm
Perimeter of triangle QTU
= 10
z + 17 - 2 - 2
= (10
z + 13) cm
(b)
10
z + 17 = 47
10
z = 47 - 17
10
z = 30
z = 30 ÷ 10 = 3
Value of
z = 3 cm
Answer(s): (a) (10
z + 13) cm; (b) 3 cm