Respuesta :
Answer:
20 by 20
Step-by-step explanation:
the new dimensions have to be 12 because 12×12 =144 so you would add 8 to 12 and get 20 for each side
Answer:
D) 20 feet by 20 feet
Step-by-step explanation:
Given:
The area of the original grass lawn reduced by 8 feet on each side.
The smaller lawn's area = 144 square feet which is represented by the equation
[tex](x - 8)^2 = 144[/tex], where "x" is the side of the original lawn.
To find the original dimension of the lawn, we need to solve for x from the above equation.
To solve follow the steps.
Step 1:
To get rid of square on the right hand side, we need to take square root on both sides.
Taking the square root on both sides, we get
[tex]\sqrt{(x - 8)^2} = \sqrt{144}[/tex]
[tex](x - 8) = 12[/tex]
Step 2:
Now add 8 on both sides, we get
x - 8 + 8 = 12 + 8
x = 20
Therefore, the original dimensions of the lawn is 20 feet by 20 feet.
