Question

the diagonal of a rectangle is 24 cm and length is 20 cm find the perimeter of rectangle

Answer 1

GIVEN,

Diagonal= 24cm

length= 20cm of a rectangle.

TO FIND,

The perimeter of the rectangle.

SOLUTION,

A rectangle is a 4-sided figure with unequal length and breadth.

here the given length is 20cm

as we know,

$DIAGONAL =\sqrt{LENGHT^{2} + BREADTH^{2} }$

hence substituting values of diagonal and length we get,

$24 =\sqrt{20^{2}+ BREADTH^{2} }$

squaring both sides,

$24^{2} = 20^{2}+ BREADTH^{2}$

$576= 400+ BREADTH^{2}$

$BREADTH^{2} = 576-400$

$BREADTH^{2} = 176$

putting root on both sides,

$BREADTH=\sqrt{176\\} \\\\\\BREADTH=13.266$

now the perimeter of a rectangle is

PERIMETER= 2( LENGTH+BREADTH)

PERIMETER= 2( 20+13.266)

PERIMETER= 2* 33.266

PERIMETER= 66.532.

HENCE THE PERIMETER OF THE RECTANGLE IS 66.532 $cm^{2}$