PSLE The perimeter of figure BCDEF is (6
a + 19) cm. The perimeter of square BCDE is 20 cm.
- Find the perimeter of triangle BEF in terms of a.
- The perimeter of figure BCDEF is 55 cm. What is the value of a? Give your answer in cm.
(a)
Length of the square
= 20 ÷ 4
= 5 cm
Total lengths of BC, CD and DE
= 3 x 5
= 15 cm
Perimeter of triangle BEF
= 6
a + 19 - 5 - 5
= (6
a + 9) cm
(b)
6
a + 19 = 55
6
a = 55 - 19
6
a = 36
a = 36 ÷ 6 = 6
Value of
a = 6 cm
Answer(s): (a) (6
a + 9) cm; (b) 6 cm