Question

44%

Bill needs to build a rectangular sheep pen.
The pen must have a perimeter of 24 m.
Every half metres of fencing cost him £1.20.
a) Work out the cost of fencing used to make
the sheep pen.
The length of the sheep pen is three times its width.
b) Find the length and width of the sheep pen.
Length
metres
Width
metres

Answer 1

£57.60

9m

3m

Explanation:

cost of fencing = perimeter of the fence x cost of half meter x 2

1.2 x 2 x 24 = £57.60

Perimeter = 2 x ( length + width)

let x = width

length = 3x

2 x (3x + x) = 24

divide both sides of the equation by 2

4x = 12

x = 3

Length = 3 x 3 = 9m