SOLUTION: Hello, I have a question for you. A rectangular garden is 10ft longer than it is wide. Its area is 6375 ft^2. What are its dimensions? Its width equals ___________

SOLUTION: Hello, I have a question for you. A rectangular garden is 10ft longer than it is wide. Its area is 6375 ft^2. What are its dimensions? Its width equals ___________ _ feet a

Question 338993: Hello, I have a question for you.
A rectangular garden is 10ft longer than it is wide. Its area is 6375 ft^2. What are its dimensions?

Its width equals _____________ feet and its length equals___________ feet.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
"A rectangular garden is 10ft longer than it is wide. Its area is 6375 ft^2" means that

Start with the given equation.

Distribute.

Subtract 6375 from both sides.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "x":

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the possible solutions are or

However, a negative length doesn't make sense. So ignore

So the only solution is which means that the width is 75 ft and the length is 85 ft.

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website.

Jim
RELATED QUESTIONS
A rectangle garden is 10ft longer than it is wide. Its area is 875 ft squared. What are... (answered by kmcruz09)

DIMENSIONS OF A GARDEN: A rectangular garden is 10ft. longer than it is wide. Its area is (answered by jojo14344)

A rectangular garden is 15 ft longer than it is wide. Its area is 1350 ft. What are its... (answered by geetha_rama)

A rectangular garden is 5 ft longer than it is wide. Its area is 6000 "ft"^2. What are... (answered by jorel555,addingup,Fombitz)

A rectangular garden is 20 ft longer than it is wide. Its area is 2925 . What are its... (answered by solver91311)

A rectangular garden is 20 ft longer than it is wide. Its area is 2925 . What are its... (answered by solver91311,checkley77)

A rectangular garden is 7 ft longer than it is wide. Its area is 494 ft2. What are its... (answered by filboi)

A rectangular garden is 8 ft longer than it is wide. Its area is 560 ft2. What are its... (answered by Alan3354)

A rectangular garden is 15 ft longer than it is wide. Its area is 7600 ft^2. What are its (answered by Earlsdon)