Question

Algebraic equation for the length of a rectangle is 6 metres more than its breadth. the perimeter of the rectangle is 60 metres. Find its length and breadth.

Answer 1

hope it will help you....

Answer 2

$x = 6 + y \\ \\ i.e \: x - y = 6 \: equation \: (1)$
perimeter of rectangle=
$2 \times length + breadth$
$2 \times x + y = 60 \\ x + y = 60 \div 2 \\ x + y = 30 \: \: \: \: equation \: (2)$
adding equation 1 and 2

we get,

$x - y = 6 + x - y = 30 \\ \\ x = 18 \\ \\ \\ substituting \: x = 18 \: in \: equation \: 1$
$x - y = 6 \\ 18 - y = 6 \\ y = 18 + 6 \\ y = 24$
therefore length of the rectangle is 18cm and its breadh is 24cm