Question

the perimeter of parrellogram is80 if the longer side is 10m greayrr than the shoryer side find the length of the side parrellogram​

Answer 1

Step-by-step explanation:

let x be the longer and y be the shorter side of the parrallelogram

accroding to the equation

$10 + x = y......(1)$

perimeter of the parallelogram

$= 2(x + y)$

given perimeter of the parallelogram

=80cm

substituting the value of (y )we get

$80 = 2(10 + x + x)$

$80 = 2(10 + 2x)$

$80 = 20 + 4x$

$60 = 4x$

$15 = x$

substituiting the value of x we get

$shorter \: side = 10 + x =y \\ = 10 + 15 = y \\ 25 cm= y$

$longer \: side = 15cm$