A dog kennel owner has 121 ft of fencing to enclose a rectangular dog run. She wants it to be 5 times longer than it is wide. Find the dimensions of the dog run.

605/12 ft by 121/12 ft

Step-by-step explanation:

So, the dimensions of the dog run would be 5x as the length and x as the width.

The perimeter of this dog run would therefore be :

5x + 5x + x + x = 12x

From here, we know that 12x = 121 ft, so x = 121/12 ft

so the final dimensions of the dog run would be 605/12 ft by 121/12 ft

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus

146

step-by-step explanation: