One length of a rectangular garden lies along a patio wall. However, the rest of the garden is enclosed by 36 feet of fencing. If the length of the garden is twice its width, what is the area of the garden?

Solution:

Let x represent the length of the garden and y represent the width of the garden. Since the length of the garden is twice its width, hence:

x = 2y

Since 36 feet of fencing was used to enclose the rest of the building:

x + y + y = 36

x + 2y = 36

Substitute x = 2y:

2y + 2y = 36

4y = 36

y = 36 / 4

y = 9 feet

Substitute y = 9 to find x:

x = 2y = 2(9) = 18 feet

Therefore the length of the fence is 18 feet and the width is 9 feet.

The area of the garden = length * width = 18 feet * 9 feet = 162 feet²

7 0

3 years ago

How did Western Europe maintain cultural unity after the fall of the Western Roman Empire? Confederations of Germanic tribes mai

likoan [24]

Answer:

The Christian Church gave the various people and tribes in Western Europe a cultural center.

Explanation:

After the fall of the Western Roman Empire, in Western Europe, Church became the centre of culture. During this period, the Catholic Church was the only unifying factor, and the church builds Western Civilization based on its beliefs. The Christian religion was also spreading in Europe after the fall of the Roman Empire.

8 0

3 years ago