Elias has decided to fence in a garden that is in the shape of a parallelogram. If one side measures 76 ft and 250 ft of fencing is needed to enclose the garden, what are the lengths of the sides of the garden?

The length of side of garden are 76 feet and 49 feet

Solution:

Given that, Elias has decided to fence in a garden that is in the shape of a parallelogram

Measure of one side = 76 feet

250 ft of fencing is needed to enclose the garden

Therefore, perimeter = 250

The perimeter of parallelogram is given by:

Perimeter = 2 (a + b)

Where, a and b are the length of sides

Here, a = 76

b = ?

Substituting in formula, we get

250 = 2 (76 + b)

250 = 152 + b

2b = 250 - 152

2b = 98

b = 49

Thus the length of side of garden is 49 feet