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Comparision areas are equal comparision of perimeter of rectangle and square

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Posted on Aug 31, 2008

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The length, l, of a rectangle is 5/2 its width, w. The length, l, of the rectangle is 10 inches. What is the perimeter of the rectangle? What Iis the area of the rectangle, in sauare inches?


We are given the following data:

length = 5/2 * width
length = 10 inWe know through the transitive

property of equality that the following must be true:

5/2 * width = 10 in

We then solve this equation algebraically for width:

width = (10 in) * 2/5
width = 4 in

The perimeter of the rectangle is given by substituting our known values of length and width into the following general equation:

Perimeter = 2 * length + 2 * width
Perimeter = 2(10 in) + 2(4 in) = 28 in

In a similar fashion, we substitute these known values into the general equation for the area of the rectangle to solve for the same:

Area = length * width
Area = (10 in)(4 in)=40 in^2

Nov 29, 2016 | The Computers & Internet

1 Answer

How many gallons in an 88" x 15" x 9" trough?


try this :

Instructions
  1. Measure the rectangle length, width and height. For example, 8 inches long, 6 inches wide, 10 inches high.
  2. Multiply the length by the height, then double the product. With this example, 8 inches multiplied by 10 inches results in 80 square inches, which multiplied by 2 equals 160 square inches.
  3. Multiply the width by the length, then double the product. With this example, 6 inches multiplied by 8 inches equals 48 square inches, which multiplied by 2 equals 96 square inches.
  4. Multiply the height by the width, then double the product. With this example, 10 inches multiplied by 6 inches results in 60 square inches, which multiplied by 2 equals 120 square inches.
  5. Sum the amounts from Steps 1 through 3 to find the rectangle surface area. So adding 160, 96 and 120 square inches results in 376 square inches.


1 Us gallon is 231 cubic inches

Sep 05, 2015 | Garden

1 Answer

How do you find the dimensions of a rectangle with a perimeter of 26 inches and an area of 42 inches?


Area=width*length
Perimeter=2(l+w)

What combination of two numbers multiplied together equal equal 42? 1*42 / 2*21 / 3*14 / 4*13 / no 5 / 6*7

Add any two sets of numbers and multiply by 2 (l+w).

Very quickly you will see that numbers 6 & 7 are the answer.

It is not common core, but it works without deriving a complex algebraic formula.



Mar 02, 2015 | Computers & Internet

1 Answer

How many feet in a half acre of land?


Since acre is a measure of area and feet is a measure of distance, you need to calculate the perimeter of a lot with an area of half an acre. Here are the formulas:
1. If the lot is a square (all 4 sides of equal length), multiply the length of one side by 4, to get the # of feet required to walk a half acre piece of land.
2. If the lot is rectangle: (heightx2)+(widthx2).
3. If the lot is a triangle, add up all three sides.

Dec 09, 2014 | Visual Land Audio Players & Recorders

1 Answer

How many squares in a rectangle has a perimeter of 40


That depends on the rectangle.
A 1x19 rectangle has 19 squares.
A 2x18 rectangle has 36 squares.
...
A 9x11 rectangle has 99 squares.
A 10x10 rectangle (a square) has 100 squares.
All of these rectangles have a perimeter of 40.

May 29, 2014 | Computers & Internet

1 Answer

What is the greatest perimeter that a 48 meter squared rectangle could have?


Infinite.

A one meter by 48 meter rectangle has an area of 48 square meters and a perimeter of 98 meters. A one centimeter by 4800 meter rectangle has the same area and a perimeter of 9600.02 meters. A one millimeter by 48,000 meter rectangle has the same area and a perimeter of 96,000.002 meters. A rectangle one micron by 48,000,000 meters has an area of 48 square meters and a perimeter of 96,000,000.000002 meters. Keep making the rectangle skinnier and skinnier without changing the area, and the perimeter keeps getting longer and longer.

May 01, 2014 | Computers & Internet

1 Answer

Perimeter of a rectangle


24 square centimeters.

If this is homework, be sure to show your work.

Jan 09, 2014 | Computers & Internet

1 Answer

Perimeter of a rectangle


1 tile by 20 tiles - perimeter of 1+ 20 +1 + 20 = 42
2 tiles by 10 tiles - perimeter of 2 + 10 + 2 + 10 = 24
(can't make a rectangle with 3 rows)
4 tiles by 5 tiles - perimeter of 4 + 5 + 4 + 5 = 18
5 tiles by 4 tiles - perimeter of 5 + 4 + 5 + 4 = 18
(can't make a rectangle with 6, 7, 8 or 9 rows)
10 tiles by 2 tiles - perimeter of 10 + 2 + 10 + 2 = 24
20 tiles by 1 tile - perimeter of 20 + 1 + 20 + 1 = 42

So 6 different rectangles. Smallest perimeter is 18.

Jan 08, 2014 | Computers & Internet

1 Answer

Perimeter of a 1 x 3 rectangle


Rectangle has two pairs of equal sides.
L=length=3 units
w=width =1 unit
Perimeter = sum of the measures of all sides.
2 sides with measure L: sum of lengths=2*L
2 sides with measure w: sum of widths=2*w
Perimeter = 2L+2w=2(L+w)=2(1+3)=8 units.

Oct 29, 2013 | Computers & Internet

1 Answer

Is a rectangle squared or cubed


Hello,
Some wires got crossed here. A cube is a solid (a 3D object), whereas a rectangle and a square are 2D figures. You cannot compare a 2D figure with a 3D figure any more than you can compare say a parking lot and a highrise building.

A rectangle is a quadrilateral (closed polygon with 4 sides). In a rectangle, opposite sides are parallel and equal in length. In a rectangle all 4 angles are equal, each measuring 90 degrees.
All this is true for a square, except that all sides are now equal. So you can say that a square is a special kind of rectangle, namely, a rectangle with equal sides.
Hope it helps.

Oct 08, 2009 | The Learning Company Achieve! Math &...

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