Please help solve

Question

Mr Jones is going to build a garden in back of the restaurant to have fresh produce available. The garden will be rectangular, width a length of 2x+3 feet and a width of x feet.

Fencing material cost $3 per foot including delivery. Write an expression to show the amount of fencing that Mr Jones will need and then write an expression for cost of the fence

Answer 1

To determine the amount of fencing needed, you would need to know the perimeter.

The perimeter (P) of a rectangle is equal to 2 times the length plus 2 times the width:

P = 2 • length + 2 • width

For this problem, we can use the expressions provided for length and width to create an expression for perimeter:

P = 2(2x + 3) + 2 x

This is equivalent to :

P = 4x + 6 + 2x

P = 6x + 6

The amount of fencing required would be represented by (6x + 6) feet

The cost would be represented by multiplying the perimeter by 3: $3(6x + 6) = (18x + 18 ) dollars