Question

justin wants to use 376 ft of fencing to fence off the greatest possible rectangular area for a garden. What dimensions should he use? What will be the area of the garden?

Answer 1

Answer: Area of the garden is 8836 ft².

Step-by-step explanation:

Since we have given that

Perimeter of rectangular garden = 376 ft

Let length of rectangle be 'l'.

Let breadth of rectangle be 'b'.

As we know the formula for "Perimeter of rectangular garden ":

$Perimeter=2(l+b)\\\\376=2(l+b)\\\\\frac{376}{2}=l+b\\\\188=l+b$

We need to find the greatest possible rectangular area for a garden.

So, There are two possibilities :

1) 94+94=188

So, it becomes a square .

And we know that Square is also a rectangle .

Hence, Area of rectangle is given by

$Side\times Side\\\\=94\times 94\\\\=8836\ cm^2$

which is the greatest possible area of rectangle.

Answer 2

The answer would be D