PSLEAbi had a piece of lace 19
a cm long. She formed a triangle, with sides measuring
a cm, 5
a cm and 26 cm, with part of the wire.
- Express the length of the remaining lace in terms of a in the simplest form.
- Abi used the remaining lace to form a rectangle of length 3a cm. If a = 10, what was the breadth of the rectangle?
(a)
Length of the remaining lace in the terms of
a = 19
a -
a - 5
a - 26
= (13
a - 26) cm
(b)
Length of the remaining lace
= 13
a - 26
= 13 x 10 - 26
= 130 - 26
= 104 cm
Length of the rectangle
= 3
a = 3 x 10
= 30 cm
Breadth of the rectangle
= (104 - 30 - 30) ÷ 2
= 44 ÷ 2
= 22 cm
Answer(s): (a) (13
a - 26) cm; (b) 22 cm