Alex is building a rectangular fence around his yard. The total perimeter of the fence is 68 feet and the area of the yard is 240 square feet. Based on this information, what is the dimensions of the fence?

Therefore the dimensions of the fence 24 feet by 10 feet.

Step-by-step explanation:

Rectangle

Given

The perimeter of the fence is 68 feet

The area of the rectangular yard is 240 square feet

Let the length be x feet and breadth is y feet

According to the problem,

2(length+breadth)=68

⇒2(x+y)=68

⇒

.......(1)

The area of the rectangular is

length×breadth=240

⇒x×y=240

Putting the value x in the equation

⇒y²-34y+240=0

⇒y²-24y-10y+240=0

⇒y(y-24)-10(y-24)=0

⇒(y-24)(y-10)=0

⇒y=24,10

When, y=24

When y=10

=24

Therefore the dimensions of the fence 24 feet by 10 feet.

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2