PSLE The perimeter of figure QRSTU is (10
p + 10) cm. The perimeter of square QRST is 8 cm.
- Find the perimeter of triangle QTU in terms of p.
- The perimeter of figure QRSTU is 50 cm. What is the value of p? 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
p + 10 - 2 - 2
= (10
p + 6) cm
(b)
10
p + 10 = 50
10
p = 50 - 10
10
p = 40
p = 40 ÷ 10 = 4
Value of
p = 4 cm
Answer(s): (a) (10
p + 6) cm; (b) 4 cm