PSLE The perimeter of figure RSTUV is (4
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 44 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
= 4
b + 16 - 6 - 6
= (4
b + 4) cm
(b)
4
b + 16 = 44
4
b = 44 - 16
4
b = 28
b = 28 ÷ 4 = 7
Value of
b = 7 cm
Answer(s): (a) (4
b + 4) cm; (b) 7 cm