PSLE The perimeter of figure RSTUV is (9
b + 18) cm. The perimeter of square RSTU is 8 cm.
- Find the perimeter of triangle RUV in terms of b.
- The perimeter of figure RSTUV is 63 cm. What is the value of b? Give your answer in cm.
(a)
Length of the square
= 8 ÷ 4
= 2 cm
Total lengths of RS, ST and TU
= 3 x 2
= 6 cm
Perimeter of triangle RUV
= 9
b + 18 - 2 - 2
= (9
b + 14) cm
(b)
9
b + 18 = 63
9
b = 63 - 18
9
b = 45
b = 45 ÷ 9 = 5
Value of
b = 5 cm
Answer(s): (a) (9
b + 14) cm; (b) 5 cm