Question

Ben has a square garden that has sides measuring X feet, Ben wants to increase every side of his garden by 11 feet in order to plant more vegetables after Ben increased his garden it will have a perimeter of 104 feet, write an equation that can use the find X

Answer 1

We have been given that Ben has a square garden that has sides measuring X feet, Ben wants to increase every side of his garden by 11 feet in order to plant more vegetables. So each side of garden would be $X+11$.

We are also told that after Ben increased his garden it will have a perimeter of 104 feet.

We know that perimeter of square is 4 times the side length. So perimeter of garden after enlargement would be $4(X+11)$.

Now we will equate perimeter of new garden with 104 as:

$4(X+11)=104$

Therefore, the equation $4(X+11)=104$ can be used to solve for X.

$\frac{4(X+11)}{4}=\frac{104}{4}$

$X+11=26$

$X+11-11=26-11$

$X=15$

Therefore, the value of X is 15 feet.