PSLE The perimeter of figure QRSTU is (8
p + 12) cm. The perimeter of square QRST is 12 cm.
- Find the perimeter of triangle QTU in terms of p.
- The perimeter of figure QRSTU is 44 cm. What is the value of p? 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
= 8
p + 12 - 3 - 3
= (8
p + 6) cm
(b)
8
p + 12 = 44
8
p = 44 - 12
8
p = 32
p = 32 ÷ 8 = 4
Value of
p = 4 cm
Answer(s): (a) (8
p + 6) cm; (b) 4 cm