How to find the perimeter of a rectangle - SSAT Upper Level Quantitative (Math)
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The length and width of a rectangle are 
and 
. Give its perimeter in terms of 
.
The length and width of a rectangle are
A rectangle has perimeter 
, 
the length and 
the width. Substitute 
and 
in the perimeter formula, and simplify.
A rectangle has perimeter
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A rectangle has length 30 inches and width 25 inches. Which of the following is true about its perimeter?
A rectangle has length 30 inches and width 25 inches. Which of the following is true about its perimeter?
In inches, the perimeter of the rectangle can be calculated by substituting 
in the following formula:
The perimeter is 110 inches.
Now divide by 12 to convert to feet:
This makes the perimeter 9 feet 2 inches, which is between 9 feet 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:
This makes the perimeter 9 feet 2 inches, which is between 9 feet and 10 feet.
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The length and width of a rectangle are 
and 
, respectively. Give its perimeter in terms of 
.
The length and width of a rectangle are
The perimeter of a rectangle is 
, where 
is the length and 
is the width of the rectangle. In order to find the perimeter we can substitute the 
and 
in the perimeter formula:
The perimeter of a rectangle is
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The length of a rectangle is 
and the width of this rectangle is 
meters shorter than its length. Give its perimeter in terms of 
.
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 
, where 
is the length and 
is the width of the rectangle.
In order to find the perimeter we can substitute the 
and 
in the perimeter formula:
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
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A rectangle has a length of 
inches and a width of 
inches. Which of the following is true about the rectangle perimeter if 
?
A rectangle has a length of
Substitute 
to get 
and 
:
The perimeter of a rectangle is 
, where 
is the length and 
is the width of the rectangle. So we have:
inches
Now we should divide the perimeter by 12 in order to convert to feet:
feet
So the perimeter is 7 feet and 6 inches, which 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.
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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.
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 
, where 
is the length and 
is the width of the rectangle. The perimeter is known so we can set up an equation in terms of 
and solve it:
So we can get:
inches
inches
Let:
The perimeter of a rectangle is
So we can get:
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Which of these polygons has the same perimeter as a rectangle with length 55 inches and width 15 inches?
Which of these polygons has the same perimeter as a rectangle with length 55 inches and width 15 inches?
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
inches.
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.
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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