Question

A rectangle has side (3+√2) metre and (5-√2).Find the area of the rectangle and length of its diagonal

Answer 1

Given
Sides of a rectangle = (3+√2), (5-√2)

Area = Length * Breadth

= (3+√2) * (5-√2)

= 3 (5-√2) + √2* (5-√2)

=15-3√2+5√2-2

=13+2√2m²

Diagonal=√length²+breadth²

=√ (3+√2)²+(5-√2)²

=√ 9+2+6√2+25+2-10√2

=√(38-4√2)