PSLE The perimeter of figure QRSTU is (5
m + 17) cm. The perimeter of square QRST is 8 cm.
- Find the perimeter of triangle QTU in terms of m.
- The perimeter of figure QRSTU is 47 cm. What is the value of m? 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
= 5
m + 17 - 2 - 2
= (5
m + 13) cm
(b)
5
m + 17 = 47
5
m = 47 - 17
5
m = 30
m = 30 ÷ 5 = 6
Value of
m = 6 cm
Answer(s): (a) (5
m + 13) cm; (b) 6 cm