Question

What is the area of a rectangle with length 5√3-2√7 meters and width 2√3+5√7 meters?

Answer 1

To find the area of a rectangle, we need to multiply its length and width.

So,

Area = length x width

Substituting the given values, we get:

Area = (5√3 - 2√7) x (2√3 + 5√7)

Using FOIL method, we can simplify this expression:

Area = 10√9 + 25√21 - 4√21√3 - 10√49

Now, we can simplify further:

Area = 30 + 25√21 - 4√63 - 70

Area = -40 + 25√21 - 4√63

Therefore, the area of the rectangle is -40 + 25√21 - 4√63 square meters.