PSLE The perimeter of figure RSTUV is (6
b + 16) cm. The perimeter of square RSTU is 24 cm.
- Find the perimeter of triangle RUV in terms of b.
- The perimeter of figure RSTUV is 70 cm. What is the value of b? Give your answer in cm.
(a)
Length of the square
= 24 ÷ 4
= 6 cm
Total lengths of RS, ST and TU
= 3 x 6
= 18 cm
Perimeter of triangle RUV
= 6
b + 16 - 6 - 6
= (6
b + 4) cm
(b)
6
b + 16 = 70
6
b = 70 - 16
6
b = 54
b = 54 ÷ 6 = 9
Value of
b = 9 cm
Answer(s): (a) (6
b + 4) cm; (b) 9 cm