Question

I spent $156 to enclose my garden at a cost of $6.50 per yard for fencing. Draw two possible plans for my garden. Explain your reasoning.

Please, I need help to answer this question for my child’s math homework.

Answer 1

see the explanation

Explanation:

step 1

Find the total yards of the fencing

Divide the total cost by the cost per yard

so

`156/6.50=24\ yd`

step 2

Draw two possible plans for the garden

case a) A square garden

The perimeter of a square is equal to

`P=4b`

where

b is the length side of the square

we have

`P=24\ yd`

substitute

`24=4b`

`b=6\ yd`

case b) A rectangular garden

The perimeter of a rectangle is equal to

`P=2(L+W)`

where

L is the length of the rectangle

W is the width of the rectangle

Assume

`L=8\ yd`

we have

`P=24\ yd`

`L=8\ yd`

substitute

`24=2(8+W)`

solve for W

`12=8+W`

`W=12-8=4\ yd`

The drawing of the two possible plans in the attached figure