Question

the length of a rectangle is three time S it's width. if the perimeter of the rectangle is 48 meters, find the length and breadth of the rectangle.

Answer 1

48=2{a+3a}
4a=24
a=6
3a=18

Answer 2

Let the breadth (B) of the rectangle be 'x'm

So,
Length(L) = 3x .....................( given )

Perimeter of the rectangle = 48m

We know that,

Perimeter of rectangle = 2(L + B)

$48 = 2(3x + x)$

$48 = 2(4x)$

$48 = 8x$

$\frac{48}{8} = x$

$6 = x$
$x = 6m$
Therefore,
The breadth of the rectangle is 6m.

Length = 3x = 3(6) =18
so,
Length=18m.

Final answer:
Length = 18m & Breadth =6m


hope this helps ! ! !