Answer:
a)[tex]\text{Length} = 4x \text{ feet}[/tex]
b) Perimeter of square garden = [tex] 16x\text{ feet}[/tex]
c) New Perimeter = [tex]16x + 20\text{ feet}[/tex]
Step-by-step explanation:
We are given the following information in the question:
[tex]\text{Area of square} = 16x^2\text{ square feet}[/tex]
We know that area of triangle =
[tex]\text{Side}\times \text{Side}[/tex]
a) Length of each side
[tex]\text{Length} = \sqrt{\text{Area of square garden}} = \sqrt{16x^2} = 4x \text{ feet}[/tex]
b) Perimeter of the garden
Perimeter of square = [tex]4\times \text{Side of square}[/tex]
Putting the values, we get:
Perimeter of square garden =
[tex]4\times 4x = 16x\text{ feet}[/tex]
c) New perimeter
New side = [tex]4x + 5 \text{ feet}[/tex]
New Perimeter =
[tex]4\times (4x +5 ) = 16x + 20\text{ feet}[/tex]
