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The perimeter is in linear units (e.g. meters), and the area in square units (e.g. square meters), so you can't compare them directly.
If you insist on comparing a square unit with a linear unit - even though this has no physical significance! - it all depends on the units chosen, and the size.
A square of 1x1 has a surface area of 1 square unit, but a perimeter of 4 units. This is a counterexample to your proposition. At a size of 4x4, you reach the "break-even point"; above that, the perimeter would have a lower numerical value than the area. But please note that if you use physical measurements, the square of 1 meter x 1 meter (for example) has a perimeter of 4 meters and an area of 1 square meter (perimeter has a higher numerical value), but when you change units to centimeters, the same square has a perimeter of 400 cm, and an area of 10,000 cubic centimeters (here, the perimeter has a LOWER numerical value).
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Is perimeter always greater than the area?
No the area is almost always greater.
What values of x is the area of the rectangle greater than the perimeter?
5x> 4
Why difference between area and perimeter is always 4 if one side of a rectangle is 2?
We can answer this by analyzing the algebraic formulas for perimeter and area of any given rectangle. Assuming the length of the rectangle is 2 and the width is x we have the following diagram (ignore the periods they are just spacers since Answers.com won't let me format a diagram properly): ... _____x______ ...|......................| 2 |......................| 2 ...|___________| ............ x Area is found by multiplying the length times width, so we get: A = 2x The perimeter is found by adding all the sides, thus: P = x + x + 2 + 2 which simplifies to the following: P = 2x + 4 Here we can see that since A = 2x, and P = 2x + 4, that by using substitution (plugging in A where 2x is in the P formula) we find the formula for perimeter is the Area plus 4: P = A + 4 So this shows that for any rectangle with a side length of 2 and another of any length x, the perimeter will always be 4 more than the area.
What is the perimeter and area of a right angle triangle that has a height of 7 cm greater than its base and an hypotenuse of 17 cm?
Perimeter: 8+15+17 = 40 cm Area: 0.5*8*15 = 60 square cm
When is area bigger than perimeter?
It depends on the shape. Different conditions will apply for a circle, a polygon with n sides.
Can area be smaller than the perimeter?
yes
Is The area of a rectangle always greater than the perimeter?
To answer this simply try a few out for yourself. In a 2x1 cm rectangle, the area is 2 cm squared and the perimeter is 6 cm In a 12x10 rectangle, the area is 120 cm squared and the perimeter is 44 cm. In some cases, the perimeter is larger and in others it is smaller. To answer your question, no, the perimeter of a rectangle is NOT always greater than its area.
Is it sometimes always or never true that the perimeter of a rectangle is numerically greater than its area?
Sometimes. Experiment with a small square and with a large square (though any shape rectangle will do). A square of 4 x 4 has a perimeter of 16, and an area of 16. A smaller square has more perimeter than area. A larger square has more area than perimeter.
Is perimeter always greater than the area?
No the area is almost always greater.
Is the perimeter of a polygon less than the area of the polygon?
if your perimeter totals the same as 4 times pi then the maximum area that can be encompassed is equal to the perimeter. This is done by forming a circle. if you change the shape of the circle then the area will become smaller than the perimeter(circumference) if you make the circumference of the circle smaller then you will definitely decrease the area faster than you would the perimeter if you make the perimeter bigger then you will definitely increase the area faster than you would the perimeter.
What shape has a bigger area and a smaller perimeter?
Bigger than what ? Smaller than what ? If you have a certain perimeter and you want to cram the most area inside it, or if you have a certain area and you want to enclose it in the shortest perimeter, then you must make the perimeter circular. If you have only a limited number of fence posts and a circular perimeter isn't practical, then you make the perimeter square.
If the area is 350square feet what is the perimeter?
There is insufficient information to answer the question. For a given area, the perimeter depends upon the shape. For a given area, the circle will have the smallest perimeter. For polygons, regular polygons will have a smaller perimeter than an irregular one of the same area. Also, for regular polygons, the greater the number of sides, the smaller the perimeter.
Is the perimeter of a triangle always bigger than the area of a triangle?
no
Why does the obtuse triangles has the smaller perimeter than other triangles?
They don't always- they don't always 'has' a smaller perimeter than other triangles. A triangle can be absolutely any size as long as it has three sides and angles that add to 180 degrees
Is it sometimes always or never true that the perimeter of a rectangle is greater than the area?
It depends on the length and width... The smaller of the length and the width, the perimeter is greater than the area... But.. The bigger of the length and width, the area is greater than the perimeter. example : length = 5 , width = 2 AREA = 5 x 2 = 10 Perimeter = 2 x ( 5 + 2 ) = 14 example : length = 9 , width = 6 AREA = 9 x 6 = 54 Perimeter = 2 x (9 + 6) = 30 you can see the different.....
Is the area always larger than the perimeter?
No the area is not always larger than the perimeter. Ex. The area of a reectangle could be 4 feet. The width could be 4 while the length is 1. The perimeter total would be 10.
What is the least possible perimeter with an area of 169 ft?
The shape which minimises the perimeter for a fixed area is a circle. A circle of radius 7.334 ft (approx) will have the required area and a perimeter (circumference) of just 46.084 ft. The quadrilateral with the smallest perimeter will be a square with sides of 13 feet: a perimeter of 4*13 = 52 feet. Any regular polygon with more than 4 sides will have a smaller perimeter, for the same area, than a square.
