All ISEE Lower Level Math Resources
Example Questions
Example Question #25 : How To Find The Area Of A Rectangle
One side of a rectangle has a length of 10. What is the area of this rectangle if it has a perimeter of 120?
Based on what we were told, our rectangle looks like this:
We know, therefore, that there is or remaining for the other two sides. This means that they are . So, our rectangle ultimately looks like this:
The area of a rectangle is its base times its height. Therefore, the area is:
Example Question #26 : How To Find The Area Of A Rectangle
A rectangle has a width of and a length of . Find the area of the rectangle.
To find the area of a rectangle apply the formula:
This problem provides the measurements for both the width and length of the rectangle.
Thus, the solution is:
Example Question #24 : How To Find The Area Of A Rectangle
A rectangle has a width of and a perimeter measurement of . Find the area of the rectangle.
Not enough information is provided.
In this problem you are given the width and perimeter of the rectangle. However, to solve for the area of the rectangle you must first find the length of the rectangle. To do so, work backwards using the formula:
Now that you know the width and length of the rectangle, apply the area formula:
Example Question #53 : Geometry
Find the area of the rectangle shown above.
To find the area of a rectangle apply the formula:
The image provides the measurements for both the width and length of the rectangle.
Thus, the solution is:
Tip for mental math: Since you are multiplying times a multiple of ten, you can think of these factors as:
and then tack on one zero to the product because the orginal factors have a total of one zero--which equals a product of .
Example Question #61 : Geometry
A rectangle has a length of . The width of the rectangle is that of the length measurement. Find the area of the rectangle.
To solve this problem, first note that the width of the rectangle must equal:
Now that you know the width and length of the rectangle, apply the area formula:
Example Question #41 : Plane Geometry
A rectangle has a width of and a length of Find the area of the rectangle.
To find the area of a rectangle apply the formula:
This problem provides the measurements for both the width and length of the rectangle.
Thus, the solution is:
Example Question #42 : Plane Geometry
Find the area of the rectangle shown above.
In this problem you are given the width and perimeter of the rectangle. However, to solve for the area of the rectangle you must first find the length of the rectangle. To do so, work backwards using the formula:
Now that you know the width and length of the rectangle, apply the area formula:
Example Question #61 : Geometry
A rectangle has a width of and a perimeter measurement of . Find the area of the rectangle.
In this problem you are given the width and perimeter of the rectangle. However, to solve for the area of the rectangle you must first find the length of the rectangle. To do so, work backwards using the formula:
Now that you know the width and length of the rectangle, apply the area formula:
Example Question #63 : Geometry
Find the area of the rectangle shown above.
To find the area of a rectangle apply the formula:
The image provides the measurements for both the width and length of the rectangle.
Thus, the solution is:
Example Question #41 : Plane Geometry
A rectangle has a width of and a length of . Find the area of the rectangle.
To find the area of a rectangle apply the formula:
This problem provides the measurements for both the width and length of the rectangle.
Thus, the solution is:
If the arithmetic is giving you trouble note that:
The sum total of the partial products is: