All Basic Geometry Resources
Example Questions
Example Question #1 : How To Find The Perimeter Of A Square
The length of one side of a square is 6 inches. What is the perimeter of the square?
To find the perimeter of a square, multiply one of its sides by 4.
Example Question #1 : How To Find The Perimeter Of A Square
The area of square is 196 square centimeters. What is the perimeter of ?
Cannot be determined.
We know that .
We also know that since is a square, all of its sides are of equal length.
To get the measure of any one side of , take the square root of the area:
centimeters
Therefore each side of is 14 centimeters long.
To find the perimeter, multiply by 4:
centimeters
Example Question #2 : How To Find The Perimeter Of A Square
A square tabletop has an area of . Find the perimeter of the tabletop.
First find the length of each side.
Take the square root of the area to find the side length:
Since a square has equal sides, multiply the side length by to find the perimeter:
Example Question #3 : How To Find The Perimeter Of A Square
A square garden has an area of 64 square feet. If you add 3 feet to each side, what is the new perimeter of the garden?
121
25
32
44
20
44
By finding the square root of the area of the garden, you find the length of one side, which is 8. We add 3 feet to this, giving us 11, then multiply this by 4 to get 44 feet for the perimeter.
Example Question #1 : How To Find The Perimeter Of A Square
The area of the shaded region of a square is 18. What is the perimeter of the square?
24
20
28
36
24
The area of the shaded region, which covers half of the square is 18 meaning that the total area of the square is 18 x 2, or 36. The area of a square is equal to the length of one side squared. Since the square root of 36 is 6, the length of 1 side is 6. The perimeter is the length of 1 side times 4 or 6 x 4.
Example Question #3 : How To Find The Perimeter Of A Square
The area of a square is . If the square is enlarged by a factor of 2, what is the perimeter of the new square?
The area of a square is given by so we know the side is 5 cm. Enlarging by a factor of two makes the new side 10 cm. The perimeter is given by , so the perimeter of the new square is 40 cm.
Example Question #6 : How To Find The Perimeter Of A Square
The diagonal of a square has a length of 10 inches. What is the perimeter of the square in inches squared?
Using the Pythagorean Theorem, we can find the edge of a side to be √50, by 2a2=102. This can be reduced to 5√2. This can then be multiplied by 4 to find the perimeter.
Example Question #2 : How To Find The Perimeter Of A Square
What is the perimeter of a square with an area of ?
1. Find the side lengths:
2. Use the side lengths to find the perimeter:
Example Question #3 : How To Find The Perimeter Of A Square
Find the perimeter of a square that has side lengths of .
Use the following formula to find the perimeter of a square:
For the given square,
Example Question #2 : How To Find The Perimeter Of A Square
Find the perimeter of a square that has side lengths of .
Use the following formula to find the perimeter of a square:
For the given square,