PSLE The perimeter of figure QRSTU is (8
i + 11) cm. The perimeter of square QRST is 8 cm.
- Find the perimeter of triangle QTU in terms of i.
- The perimeter of figure QRSTU is 83 cm. What is the value of i? 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
= 8
i + 11 - 2 - 2
= (8
i + 7) cm
(b)
8
i + 11 = 83
8
i = 83 - 11
8
i = 72
i = 72 ÷ 8 = 9
Value of
i = 9 cm
Answer(s): (a) (8
i + 7) cm; (b) 9 cm