0
As the area of a rectangle is one side (length) multiples by the other (width), if either is irrational, then the area will be irrational.
eg a rectangle with width 1 cm and diagonal 2 cm: using Pythagoras you can find out the length of the rectangle as √(2² - 1²) = √(4 - 1) = √3 which is irrational. The area of the rectangle is 1 cm × √3 cm = √3 cm² (which is irrational).
Consider the area to be the product of length x width.If you multiply a rational number times an irrational number, you will always get an irrational number (unless the rational number happens to be zero - not relevant in this case).
If you multiply two Irrational Numbers, you will ALMOST ALWAYS get an irrational number.
Add your answer:
Earn +20 pts
Is it possible for a rectangle to have irrational side lengths and a rational area?
Yes as for example if the rectangle has sides of square root 8 and square root 2 which are two irrational numbers but when multiplied it gives an area of 4 square units which is a rational number.
How is the area of a triangle related to the area of a rectangle?
It's half the area of a rectangle
What the formula for finding the area of a rectangle?
Area of a rectangle: a = l * w
Surface area of rectangle?
Area of a rectangle = length x width
What does area of a rectangle mean?
Area of a square/rectangle=its length × its width
Can the perimeter or area of a rectangle ever be an irrational number?
Yes, the perimeter or area of a rectangle can be an irrational number. Thanks
Can the perimeter of area of a rectangle ever be an irrational number?
Yes, of course. Why ever not ? You can make your rectangle any size you want.
Is it possible for a rectangle to have irrational side lengths and a rational area?
Yes as for example if the rectangle has sides of square root 8 and square root 2 which are two irrational numbers but when multiplied it gives an area of 4 square units which is a rational number.
The area of rectangle?
Rectangle area = (rectangle width) x (rectangle height)
Formula for finding the area of a rectangle?
A = lw Area of a rectangle = length times width
What is the area of a rectangle 5x7?
The area of rectangle is : 35.0
Is the radius of a circle is irrational would the area must be irrational?
Yes and the area of any circle is an irrational number because its area is pi*radius squared whereas pi is an irrational number.
How is the area of a triangle related to the area of a rectangle?
It's half the area of a rectangle
What is the area of a rectangle that is 14cm by 12cm?
The area of rectangle is : 168.0
What is the area of a rectangle 10cm x3cm?
The area of rectangle is : 30.0
What is the area of a rectangle at 12cm by 4cm?
The area of rectangle is : 48.0
What is the area of a rectangle 4.5x10m?
The area of rectangle is : 45.0
