SSAT Upper Level Math : How to find the perimeter of a rectangle
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Example Questions
Example Question #1 :How To Find The Perimeter Of A Rectangle
The length and width of a rectangle are
A rectangle has perimeter
Example Question #1 :How To Find The Perimeter Of A Rectangle
A rectangle has length 30 inches and width 25 inches. Which of the following is true about its perimeter?
Its perimeter is between 4 and 5 feet.
Its perimeter is between 5 and 6 feet.
Its perimeter is between 8 and 9 feet.
Its perimeter is between 9 and 10 feet.
Its perimeter is between 10 and 11 feet.
Its perimeter is between 9 and 10 feet.
In inches, the perimeter of the rectangle can be calculated by substituting
The perimeter is 110 inches.
Now divide by 12 to convert to feet:
这使得周边9英尺2inches, which is between 9 feet and 10 feet.
Example Question #3 :How To Find The Perimeter Of A Rectangle
Perimeter of a rectangle is 36 inches. If the width of the rectangle is 3 inches less than its length, give the length and width of the rectangle.
Let:
The perimeter of a rectangle is
So we can get:
Example Question #4 :How To Find The Perimeter Of A Rectangle
The length and width of a rectangle are
The perimeter of a rectangle is
Example Question #1 :How To Find The Perimeter Of A Rectangle
The length of a rectangle is
The length of the rectangle is known, so we can find the width in terms of
The perimeter of a rectangle is
In order to find the perimeter we can substitute the
Example Question #6 :How To Find The Perimeter Of A Rectangle
A rectangle has a length of
Its perimeter is more than 8 feet.
Its perimeter is between 7 and 8 feet.
Its perimeter is between 7.2 and 7.4 feet.
Its perimeter is less than 7 feet.
Its perimeter is between 8 and 9 feet.
Its perimeter is between 7 and 8 feet.
Substitute
The perimeter of a rectangle is
Now we should divide the perimeter by 12 in order to convert to feet:
So the perimeter is 7 feet and 6 inches, which is between 7 and 8 feet.
Example Question #2 :How To Find The Perimeter Of A Rectangle
Which of these polygons has the same perimeter as a rectangle with length 55 inches and width 15 inches?
A regular heptagon with sidelength two feet
A regular hexagon with sidelength two feet
The other answer choices are incorrect.
A regular pentagon with sidelength two feet
A regular octagon with sidelength two feet
The other answer choices are incorrect.
The perimeter of a rectangle is twice the sum of its length and its width; a rectangle with dimensions 55 inches and 15 inches has perimeter
All of the polygons in the choices are regular - that is, all have congruent sides - and all have sidelength two feet, or 24 inches, so we divide 140 by 24 to determine how many sides such a polygon would need to have a perimeter equal to the rectangle. However,
so there cannot be a regular polygon with these characteristics. All of the choices fail, so the correct response is that none are correct.
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