SOLUTION: I need help with this problem: A rectangle is 7 times as long as it is wide. Its area is 1400cm^2. Find the dimensions of the rectangle in simplest radical form. I have been w

Question 194682This question is from textbook Florida Algebra 1
: I need help with this problem: A rectangle is 7 times as long as it is wide. Its area is 1400cm^2. Find the dimensions of the rectangle in simplest radical form.
I have been working on this problem for 30 minutes straight, and I can't find the way to work it out. I tried to use this equaion to solve the problem (length=7w):
I didn't work. Please help me. This question is from textbook Florida Algebra 1

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'm not sure how you got what you have, but I think you're confusing the area and perimeter formulas.

Since "A rectangle is 7 times as long as it is wide", this means that . Also, because "Its area is 1400cm^2", we know that

Recall, the area of a rectangle is

Start with the area of a rectangle formula

Plug in and

Multiply

Divide both sides by 7

Reduce

Rearrange the equation

Take the square root of both sides. Note: we're only considering the positive square root.

Factor 200 to get 100*2

Break up the square root.

Take the square root of 100 to get 10

Go back to the first equation

Plug in

Multiply

So the length is cm and the width is cm
RELATED QUESTIONS
A rectangle is 7 times as long as it is wide. Its area is 1400cm squared. Find the... (answered by Paul)

i need help sketching these A rectangle is three times as long as it is wide. If its... (answered by Mathtut,edjones)

please help me with this question: A rectangle of area 350 square feet is 14 times as... (answered by Fombitz)

A rectangle is 4 times as long as it is wide. Its area is 84km^2.Find the dimensions to... (answered by ikleyn)

ok i really need help on this problem. i am in honors algebra 2 and i dont know what to... (answered by Theo)

A rectangle is three times as long as it is wide. If its length and width are both... (answered by josgarithmetic)

I know how to set this up partially but I need help. A rectangle is 3 times as long as it (answered by ankor@dixie-net.com)

A rectangle is four times as long as it is wide. If the area of the rectangle is 1600 cm... (answered by MithrilKnights)