A contractor has 48 meters of fencing to use as the perimeter of a rectangular garden. The length of one side of the garden is represented by x, and the area of the garden is 108 square meters. Determine, algebraically, the dimensions of the garden in meters

Answers

Answer 1

Answer: if we let y be the dimension of the other side, then the perimeter has the formula
P = 2x + 2y
48 = 2x + 2y

The area of the rectangle has the formula
A = xy
108 = xy

So,
x = 108/y

Substituting this to the first equation
48 = 2(108/y) + 2y
48y = 216 + 2y^2
2y^2 - 48y + 216 = 0

Solving the quadratic equation:
y = 18 or 6

Either of the two is the correct answer for y, the value of x would just be the other. So, the dimensions of the garden is
18 m x 6 m

Related Questions

25 pts! Who wants brainliest? answer this question
What is 35 percent of 70
How do you solve 2x^2-32=0 using square roots? Please help!
Kyla applied rm ◦ T0,3 to triangle ABC. What mistakes did she make? Check all that apply.She applied the rotation to the triangle first.She applied the reflection to the triangle first.She changed the size of the triangle instead of just applying a translation. She translated the triangle down instead of just applying a reflection. She applied a rotation instead of a reflection
Simplify the expression. 7(3x + 5y) + 4y

If 3x-1=11,what is the value of x^2+x

Answers

We can set the 2nd equation to y that way we have something to solve for
$\left \{ {{3x-1=11} \atop {x^2+x=y}} \right.$
First we solve our first equation by moving the one to the other side
$3x=12$
Then we divide by 3 on each side
$x=4$
So now we can plug 4 into the x's of the 2nd equation
$4^2+4=y\n 16+4=y\n 20=y$

How many terms are in the expression 20x + 9y

Answers

Two terms:

20x and 9y

A Term is either a single number or a variable.

There are 2 terms.

Term 1 : = 20x

Term 2 : = 9y

A small country in Europe has been experiencing population growth that can be modeled by the equation y=120,000(1.042)^x where y is the population of the country and x is the number of years since 2010. What is the percent change in the population of the country each year?

Answers

The percentage searched is 4.2%

If you multiply some value to 1.042 this means that you are adding 4.2 %

See in the expression of formula that appears just the cited figure: "1.042"

Divide 6,723 ÷ 8. what is the remainder?

Answers

3 is the remainder
_______________

A scale drawing of an office space uses a scale of 2 inches in 3 yards the scale drawing has an area of 16 in.² what is the area of the actual office space

Answers

Answer:

36 Square Yards

Step-by-step explanation:

The Scale Drawing uses a ratio

2 Inches : 3 Yards

Therefore,

1 Inch = 3/2 Yards

If the area of the scale drawing is 16 Inch²

To get the area of the actual office, we multiply by the square of the scale factor.

Scale Factor=3/2

Therefore:

The area of the actual office space

=16X(3/2)² Square Yards

=36 Square Yards

Answer:

36 square yards.

Step-by-step explanation:

This question is solved with rule of three and ratios

We know that 2 inches is equivalent to 3 yards, and the area in the drawing is 16 square inches.

so if

2 inches ---- 3 yards then 1 inch is 3/2 yards.

Let's say that the office is 8 inches x 2 inches = 16 squared inches

Then, if we convert it to yards,

8 inches would be: $8((3)/(2))=12$ yards

and 2 inches would be: $2((3)/(2))=3$ yards

Then, the area of the office would be 12 x 3 = 36 squared yards.

Yvonne has a goal of buying a brand new home within a year. She's afraid that she will be unable to save the money that she needs for a down payment. Which of the following should not be part of Yvonne's plan for achieving her goal of buying a home? a. Delay buying the home for a few months
b. Borrow the money for the down payment and pay it back later
c. Adjust her budget to save more each month
d. Take on a part-time job to earn extra income

Answers

Answer:

b. Borrow the money for the down payment and pay it back later

Step-by-step explanation:

Yvonne has a goal of buying a brand new home within a year.

She's afraid that she will be unable to save the money that she needs for a down payment.

The following should not be part of Yvonne's plan for achieving her goal of buying a home-

b. Borrow the money for the down payment and pay it back later

She can delay buying the house for a few months so she can save more money. She can also adjust her budget to save more. Also she can take a few other jobs to earn more and save more.

The only thing she should not consider is borrowing money.

In this way she will have to pay double debts. One to the lender and the other to the bank for home loan. Borrowing money will create more difficulties for her, so she should not so that.

a. Delay buying home for a few months

Other Questions

without using your calculator or computer graphing tool. match each function rule with its graph. In each case, write a sentence explaining the type of variation that relates (x) and (y) for example Y is proportional to ..... with constant of proportionality....?

What is the next fraction in each of the following patterns?1/40,4/40,9/40,16/40,25/40...?

1.666667 as a fraction

Which of the following piecewise functions is graphed above?