Question

The difference in length between the two adjacent sides of a parallelogram is 5cm.if the perimeter of the parallelogram is 58cm,find measure of all its sides

Answer 1

Answer:

long side length = 17 cm

short side length = 12 cm

Step-by-step explanation:

Assume the longest sides of the parallelogram has a length of x cm

the shortest sides are 5 cm shorter than the longest sides,

therefore the shortest side is (x - 5) cm

A parallelogram has 2 long sides and 2 short sides

Perimeter:

2 long sides + 2 short sides =  58

        2x + 2(x - 5) = 58

        2x + 2x - 10 = 58

        4x - 10 = 58

        4x = 58 +10

         x = 68/4

         x = 17 cm

long side length = 17 cm

short side length = x - 5

                            = 12 cm