PSLE The perimeter of figure QRSTU is (6
x + 19) cm. The perimeter of square QRST is 8 cm.
- Find the perimeter of triangle QTU in terms of x.
- The perimeter of figure QRSTU is 61 cm. What is the value of x? 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
= 6
x + 19 - 2 - 2
= (6
x + 15) cm
(b)
6
x + 19 = 61
6
x = 61 - 19
6
x = 42
x = 42 ÷ 6 = 7
Value of
x = 7 cm
Answer(s): (a) (6
x + 15) cm; (b) 7 cm