Answer:
60 square foot
Explanation:
Perimeter of a rectangular garden = 58 foot
Let x and y denote length and width of the rectangular garden.
2 (Length + Width) = Perimeter of the rectangular garden

So,
length = x
width = y =

The length is reduced by 7 feet and the width becomes half.
New length =

New width =

New perimeter = 34 foot
![2[(x-7)+(1)/(2)(29-x)]=34\\ 2[2(x-7)+(29-x)]=2(34)\\2(x-7)+(29-x)=34\\2x-14+29-x=34\\2x-x-14+29=34\\x+15=34\\x=34-15\\x=19](https://img.qammunity.org/2021/formulas/mathematics/high-school/6tcmog2uvhg5kd1qtjcm46ov5unvjqrkn0.png)
So,
New length

New width =

Area of the new smaller garden = New length × New Width
= 12 × 5
= 60 square foot