A square garden has a perimeter of 48 meters. A pond inside the garden has an area of 20 square meters. What is the area of the garden that is not taken up by the pond?
To find the area of the garden that is not taken up by the pond, we need to find the area of the entire garden and then subtract the area of the pond.
Let's start by finding the length of one side of the garden. Since a square has all four sides equal in length, we can divide the perimeter by 4.
48 meters รท 4 = 12 meters
So, each side of the garden is 12 meters long.
Now, to find the area of the garden, we multiply the length of one side by itself:
Area of the garden = side length x side length
= 12 meters x 12 meters
= 144 square meters
Next, we subtract the area of the pond from the area of the garden:
Area of the garden not taken up by the pond = Area of the garden - Area of the pond
= 144 square meters - 20 square meters
= 124 square meters
Therefore, the area of the garden that is not taken up by the pond is 124 square meters.
To find the area of the garden that is not taken up by the pond, we need to first find the area of the garden and then subtract the area of the pond.
We are given that the garden is square, which means all four sides are equal in length. Let's call the length of one side of the square garden "s".
The formula for the perimeter of a square is P = 4s, where P is the perimeter and s is the length of one side. We know that the perimeter of the garden is 48 meters, so:
48 = 4s
To find the value of "s", we can divide both sides of the equation by 4:
48/4 = s
12 = s
So, the length of one side of the square garden is 12 meters.
The area of a square is given by the formula A = s^2, where A is the area and s is the length of one side. We can substitute the value of "s" into the formula to find the area of the garden:
A = 12^2
A = 144 square meters
Now, we need to subtract the area of the pond (20 square meters) from the area of the garden to find the area that is not taken up by the pond:
Area not taken up by pond = Area of the garden - Area of the pond
Area not taken up by pond = 144 square meters - 20 square meters
Area not taken up by pond = 124 square meters
Therefore, the area of the garden that is not taken up by the pond is 124 square meters.
Let x = length of side of garden.
The garden perimeter is 4x = 48, x = 12
12^2 - 20 = ?