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Perimeter is length (units feet, centimeters, etc.) Area is length2 (square feet, square centimeters etc.). But if you want to disregard the units, you can find triangles which perimeter is larger, smaller or even 'equal' to area, depending on scale.
Take a 3,4,5 right triangle. The perimeter = 3+4+5= 12 units. Area = 3*4/2 = 6 square units. Now double the sides.
Perimeter = 6 + 8+ 10 = 24 units. Area = 6*8/2 = 24 square units (the numbers are equal). Scaling it larger, then the valueof the area (in square units) will be larger than the perimeter value (in straight units).
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What is the perimeter of a triangle that has a area of 6.5 cm?
The minimum perimeter is when the triangle is an equilateral triangle. The perimeter of any other triangle with the same area will be longer. In the case of an equilateral triangle area = (√3)/4 × side² → side = √(4×6.5 cm²/√3) → perimeter = 3 × side = 3 × √(4×6.5 cm²/√3) ≈ 11.62 cm → The triangle has a perimeter greater than or equal to approx 11.62 cm.
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 smallest whole number larger than the perimeter of any triangle with a side length of 5 and a side length of 19?
It is 48.
Can perimeter be larger than area?
yes if you have a 1 by 1 rectangle, you would have a perimeter of 4 but an area of 1 [ADDED} It's really a meaningless question because although such numbers suggest that, you cannot compare a linear dimension (perimeter) with an area.
Rectangle whose perimeter is larger than area?
Perimeter is a unit of length. Area is a unit of area. The two units are not directly convertible.However, the area of a rectangle is length times width, and the perimeter is two times length plus two times width. Given constant perimeter, a square has maximum area, while a very thin rectangle has nearly zero area. (In calculus terms, the limit of the area as length or width goes to zero is zero.)Depending on how you want to name your units, you can always find a rectangle whose perimeter is "larger" than area, but this is a numerical trick that is not valid in any school of thought of mathematics that I know.
