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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).
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CoachConsider 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.
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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
Surface area of rectangle?
Area of a rectangle = length x width
What the formula for finding the area of a rectangle?
Area of a rectangle: a = l * w
What does area of a rectangle mean?
Area of a square/rectangle=its length × its width
