Basic Geometry : Basic Geometry
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Example Questions
Example Question #651 : Basic Geometry
Know that in a Major League Baseball infield the distance between home plate and first base is 90 feet and the infield is a perfect square.
If somebody wanted to know which had a larger area, a basketball court or a baseball infield, and they knew that a National Basketball Association court has a length of 94 feet and a width of 50 feet, what would they learn has a greater area?
They have the exact same area.
The basketball court has a greater area.
The infield has a greater area.
The infield has a greater area.
The baseball infield is bigger than the basketball court in terms of area. The infield is 90x90=8100 square feet while the basketball court is 94x50=5076 square feet. Because 8100 square feet is greater than 5076 feet, the infield is bigger.
Example Question #243 : Rectangles
A rectangular lot space at South Peninsula Trailer Park has a width of 
To find the area, we need to know the length of the lot space. With the given information, we can solve for length by drafting an algebraic equation:
Now that we know the length, we can proceed to calculating the area:
Example Question #94 : How To Find The Area Of A Rectangle
The shorter side of a rectangle is 8cm, the longer side is 15cm. What is the perimeter and the area of the rectangle?
Not enough information is given.
To calculate the perimeter, recall that the perimeter is the sum off all the sides:
To calculate the area of a rectangle use the formula,
In this particular case,
thus, area is
Example Question #652 : Basic Geometry
Ricky wants to add an addition to his house. He needs to know how much flooring to get to cover the new addition. The new addition is 15 feet by 18 feet, and is in the shape of a rectangle. How much carpet should he get?
None of the answers given are correct
Ricky's new addition has a length of 15 feet, and a width of 18 feet. To find the amount of carpet to get, (or just finding the area of the floor), just multiply 15 feet by 18 feet.
Ricky needs 270 square feet of carpet
Example Question #653 : Plane Geometry
The length of the long side of a rectangle is 14. The short side is half the length of the long side. What is the area of the rectangle?
The area of any rectangle is
One side is 14, and the other side is half of the given side. Half of 14 is 7, so now we have our length and width.
Example Question #653 : Basic Geometry
Find the area of a rectangle with 
The formula for area is
Plugging in the numbers,
Example Question #102 : How To Find The Area Of A Rectangle
If the length of a rectangle is 40 feet and the width is 22 feet what is the area?
First we need to know that the formula for area of a rectangle is length times width. So since we know both length and width we can plug them into our equation
40 times 22 equals 880 and since we are multiplying two sides, both measured in feet, our answer is in square feet.
Our final answer is
Example Question #1 : Squares
Side 
Cannot be determined from information given.
Diagonal 
Solve for
We can simplify this to
Example Question #1 : How To Find The Length Of The Diagonal Of A Square
A man wants to build a not-quite-regulation softball field on his property and finds that he only has enough room to make the distance between home plate and first base 44 feet. How far (nearest foot) will it be from home plate to second base, assuming he builds it to that specification?
(Note: the four bases are the vertices of a perfect square, with the bases called home plate, first base, second base, third base, in that order).
The path from home plate to first base is a side of a perfect square; the path from home plate to second base is a diagonal. As two sides and a diagonal form a 
The distance to second base from home is 
Example Question #2 : How To Find The Length Of The Diagonal Of A Square
A square lot has an area of 1,200 square meters. To the nearest meter, how far is it from one corner to the opposite corner?
A square is also a rhombus, so its area can be calculated as one half the product of its diagonals:
where 
Since 
The distance between opposite corners is about 49 meters.
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