Question

the perimeter of a parallelogram is 36 CM if the longer side is 4 cm more than the smaller find the length of the sides of the parallelogram

Answer 1

$<b><font color = "red">Heya mate. (^_-). Solution below.</font color>$
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♦ Let the length of the smaller side (length) be x cm.

♦ Then, length of longer side (breadth) = x + 4 cm

♦ Then, it's perimeter,

= 2 × length + 2 × breadth

= 2 × x + 2 × (x + 4)

= 2x + 2x + 8

= 4x + 8

♦ But, given Perimeter = 36 cm.

→→→ 4x + 8 = 36

=> 4x = 36 - 8

=> 4x = 28

=> x = 28/4

=> x = 7 cm

•°• Length = x = 7 cm

•°• Breadth = x + 4 = 7 + 4 = 11 cm.

♥ So, the length of its side are 7 cm and 11 cm.
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$<font color = "orange">Thank you.$

Answer 2

let the two opposite side be x cm

longer sides are(x+4)cm

x+x+x+4+x+4=36

4x+8=36

4x=28

x=7cm

smaller sides are 7cm and longer sides are 11cm