PSLE The perimeter of figure RSTUV is (8
d + 24) cm. The perimeter of square RSTU is 8 cm.
- Find the perimeter of triangle RUV in terms of d.
- The perimeter of figure RSTUV is 72 cm. What is the value of d? 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
= 8
d + 24 - 2 - 2
= (8
d + 20) cm
(b)
8
d + 24 = 72
8
d = 72 - 24
8
d = 48
d = 48 ÷ 8 = 6
Value of
d = 6 cm
Answer(s): (a) (8
d + 20) cm; (b) 6 cm