All ISEE Lower Level Math Resources
Example Questions
Example Question #61 : Rectangles
Find the area of a rectangle with a length of 16in and a width that is half the length.
To find the area of a rectangle, we will use the following formula:
where l is the length and w is the width of the rectangle.
Now, we know the length of the rectangle is 16in. We also know the width is half of the length. Therefore, the width is 8in.
Knowing this, we can substitute into the formula. We get
Example Question #61 : How To Find The Area Of A Rectangle
Find the area of the following rectangle:
To find the area of a rectangle, we will use the following formula:
where l is the length and w is the width of the rectangle.
Now, given the rectangle
we can see the length is 11in and the width is 5in. Knowing this, we can substitute into the formula. We get
Example Question #71 : Plane Geometry
Find the area of a rectangle with a width of 4in and a length that is two times the width.
To find the area of a rectangle, we will use the following formula:
where l is the length and w is the width of the rectangle.
Now, we know the width of the rectangle is 4in. We also know the length of the rectangle is two times the width. Therefore, the length is 8in. So, we get
Example Question #1 : How To Find The Perimeter Of A Rectangle
Dennis is building a fence around his field to keep his cattle from getting off the property. If Dennis’ field is miles long and miles wide, how much fence will Dennis need to surround all of his property?
In order to determine how much fence Dennis will need, we must find the perimeter of his property, which can be found using the formula . When we plug in the and in for , we find that Dennis needs of fence to surround his property.
Example Question #92 : Geometry
Give the perimeter of the rectangle in the above diagram.
Add the length and the height, then multiply the sum by two:
The rectangle has a perimeter of 58 inches.
Example Question #2 : How To Find The Perimeter Of A Rectangle
Give the perimeter of the above rectangle in feet.
Use the following formula, substituting :
Now, divide this by 12 to convert inches to feet.
6 inches make half of a foot, so this means the perimeter is feet.
Example Question #2 : How To Find The Perimeter Of A Rectangle
What is the perimeter of a rectangle that has a length of inches and a width of inches?
The perimeter of a shape is the sum of all its sides. To find the perimeter of a rectangle, one can use the formula listed above, , since a rectangle has opposite sides of equal length.
The length of the rectangle is :
The width of the rectangle is :
.
Therefore, the perimeter is .
Example Question #1 : How To Find The Perimeter Of A Rectangle
What is the perimeter of a rectangle with length equal to 5 and width equal to 3?
8
16
30
15
16
Example Question #3 : How To Find The Perimeter Of A Rectangle
What is the perimeter of a rectangle with a width of and a length of ?
The perimeter of a rectangle is equal to the sum of all its sides. The formula for finding the perimeter of a rectangle is .
The length of the rectangle is eight, and the width is five; .
Therefore, the perimeter of the rectangle is .
Example Question #2 : How To Find The Perimeter Of A Rectangle
Mr. Barker is building a rectangular fence. His yard has an area of feet, and the one side of the fence he's already built is feet long.
What will the perimeter of his fence be when he is finished building it?
The perimeter is calculated by adding up all the sides of the rectangle—in this case,
So the perimeter is feet.
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