Question

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?

Answer 1

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