Question

The length of rectangle is twics it's breadth and the are of the rectangle is 64 then find length and the breadth

Answer 1

SOLUTION :

$let \: breadth \: of \: the \: rectangle \: be \: x \\ \\ then \: length \: = 2x \\ \\ area \: of \: rectangle = 64\\ \\ = > length \: \times breadth = 64\\ \\ = > 2x \times x = 64 \\ \\ = > x {}^{2} = 32 \\ \\ = > x = \sqrt{32} = 4 \sqrt{2} \\ \\ length \: of \: rectangle = x = 4 \sqrt{2} \: units \\ \\ breadth \: of \: rectangle = 2x = 8 \sqrt{2} \: units$

Answer 2

LET THE BREADTH BE x AND LENGTH BE 2x.

$x \times 2x = 64 \\ 2 {x}^{2} = 64 \\ {x}^{2} = 32 \\ x = \sqrt{32} \\ x = \sqrt{4 \times 8} \\ x = 2 \sqrt{8}$

$Length \: = 2 \sqrt{8} \: cm \\ Breath \: = 4 \sqrt{8} \: cm$