How to find the length and width of a rectangle?
In my math book there is a picture of a rectangle , and I have to find the dimensions. It has an area of 504. In the math book on the picture of the rectangle and the length is 14 and width 10x-24. How would I turn that into an equation and solve to get the answers 36 as the length and 14 as the width ? , PLEASE HELP !
September 16th, 2010 at 7:03 pm
Basic rectangle formula is: (length)(width) = area
So just replace that with your given values: (14)(10x – 24) = 504
And then expand out, and simplify:
140x – 336 – 504 = 0
140x – 840 = 0
And then solve for x:
140x = 840
x = 840/140
x = 6
Once you have x, just substitute it into your width:
10(6) – 24 = 36
And that’s your width!
Or do it the way greenman did. Yeah, I need to stop thinking fuctions.
September 16th, 2010 at 7:14 pm
Area of a rectangle =product of two adjacent sides.
If one side is known, the missing side is the Area divided by the known side length.
I.e. 504/14= 36
What grade are you in? Not past the 6th I hope.