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

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

$156/6.50=24\ yd$

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