ISEE Upper Level Math : How to find the length of the side of a rectangle
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Example Question #1 : How To Find The Length Of The Side Of A Rectangle
The area of a rectangle is 100 square inches. What is the width of the rectangle?
Cannot be determined
Cannot be determined
Without more information we cannot determine the width of a rectangle based on its area alone.
If we know this is a square and therefore that all sides are equal, we could simply take the square root of 100, which is 10.
However, we do not know that all sides are equal. We need to know the length of the rectangle to solve this problem. Therefore the best we can do is see what the equation would look like if we knew the length.
or
where 
Note: the incorrect answer choices are all factors of 100 and possible answers, but we can't be sure which, if any, are the right one.
Example Question #312 : Geometry
The area of a rectangle is 40; its width is 
Let 
Example Question #313 : Geometry
The perimeter of a rectangle is 70; its width is 
Let 
Replace 
Example Question #314 : Geometry
A rectangle has perimeter 56. Its length is 
Insufficient information is given to answer the question.
Substitute 
Example Question #315 : Geometry
You have a shed that you use for storing your gardening supplies and outdoor tools. If the shed has a footprint of 
You have a shed that you use for storing your gardening supplies and outdoor tools. If the shed has a footprint of 
We are given a rectangle with a known area and width, and asked to find the length.
To do so, recall this formula:
We know A and w, so simply work backwards to solve for l
So, our answer is 17.75 ft
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