Amy and Zach each have 24 feet of fencing for their rectangular gardens. Amy makes her fence 6 feet long . Zach makes his fence 8 feet long . Who’s garden has a greater area ? How much greater ?

For this case we have that by definition, the area of a rectangle is given by:

Where:

w: Is the width of the rectangle

l: is the length of the rectangle

Each of the girls has 24 feet of fencing, that is, the perimeter is

Amy:

Thus, Amy's fence area is:

Zach:

Thus, the area of Zach's fence is:

Amy's garden has a greater area

, is greater

Amy's garden has the greater area by 4 square feet

Step-by-step explanation:

we know that

The perimeter of a rectangle is given by the formula

step 1

Rectangular garden of Amy

we have

substitute in the formula of perimeter

solve for W

simplify

Find the area

Remember that the area is equal to

step 2

Rectangular garden of Zach

we have

substitute in the formula of perimeter

solve for W

simplify

Find the area

Remember that the area is equal to

step 3

Find the difference of the areas

therefore

Amy's garden has the greater area by 4 square feet

$12. that is my answer.

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )