Squares
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ISEE Middle Level Quantitative Reasoning › Squares
Angela has a garden that she wants to put a fence around. How much fencing will she need if her garden is 
Explanation
The fence is going around the garden, so this is a perimeter problem.
What is the perimeter of a square with area 196 square inches?
It cannot be determined from the information given.
Explanation
A square with area 196 square inches has sidelength 
What is the perimeter of a square with area 196 square inches?
It cannot be determined from the information given.
Explanation
A square with area 196 square inches has sidelength
Angela has a garden that she wants to put a fence around. How much fencing will she need if her garden is
Explanation
The fence is going around the garden, so this is a perimeter problem.
What is the length of a rectangular room with a perimeter of 
Explanation
We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.
Subtract 
Divide 
What is the length of a rectangular room with a perimeter of
Explanation
We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.
Subtract
Divide
A square has an area of 36, and each side is equal to 
Explanation
Each side of a square is equal to the square root of the area. The square root of 36 is 6, so each side is 6. Thus, 3x (being a side of the square is equal to 6. This means that x is equal to 2 because 3 times 2 is 6.
The perimeter of a square is 56in. Find the length of one side.
Explanation
To find the perimeter of a square, we use this formula
where a is the length of one side. A square has 4 equal sides. That is why we multiply the length of one side by 4. To find the length of one side, we will solve for a.
Now, we know the perimeter of the square is 56in. So, we can substitute. We get
Therefore, the length of one side of the square is 14in.
Find the area of a square with a width of 12cm.
Explanation
To find the area of a square, we will use the following formula:
where l is the length and w is the width of the square.
Now, we know the width of the square is 12cm. Because it is a square, all sides are equal. Therefore, the length is also 12cm.
Knowing this, we will substitute into the formula. We get
Find the area of a square with a length of 11in.
Explanation
To find the area of a square, we will use the following formula:
where l is the length and w is the width of the square.
Now, we know the length of the square is 11in. Because it is a square, all sides are equal. Therefore, the width is also 11in.
Knowing this, we will substitute into the formula. We get
