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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.

Respuesta :

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Answer:

see the explanation

Step-by-step explanation:

step 1

Find the total yards of the fencing

Divide the total cost by the cost per yard

so

[tex]156/6.50=24\ yd[/tex]

step 2

Draw two possible plans for the garden

case a) A square garden

The perimeter of a square is equal to

[tex]P=4b[/tex]

where

b is the length side of the square

we have

[tex]P=24\ yd[/tex]

substitute

[tex]24=4b[/tex]

[tex]b=6\ yd[/tex]

case b) A rectangular garden

The perimeter of a rectangle is equal to

[tex]P=2(L+W)[/tex]

where

L is the length of the rectangle

W is the width of the rectangle

Assume

[tex]L=8\ yd[/tex]

we have

[tex]P=24\ yd[/tex]

[tex]L=8\ yd[/tex]

substitute

[tex]24=2(8+W)[/tex]

solve for W

[tex]12=8+W[/tex]

[tex]W=12-8=4\ yd[/tex]

The drawing of the two possible plans in the attached figure

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