Basic Geometry : Basic Geometry
Study concepts, example questions & explanations for Basic Geometry
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Example Questions
Example Question #611 : Basic Geometry
Find the area of a rectangle given length of 5 and width of 7.
To find the area of a rectangle multiply the width and base together.
To solve, simply use the formula for the area of a rectangle.
Let,
Thus,
Example Question #612 : Basic Geometry
Find the area of a rectanlge with width 4 and length 7.
To solve, simply use the formula for the area of a rectangle.
Example Question #613 : Basic Geometry
Find the area of a square with side length 2.
To solve, simply use the formula for the area of a square. Thus,
Example Question #206 : Rectangles
If a rectangle has a width of 
To calculate the area of a triangle, we want to multiply the length by the width. Since the length is twice that of the width, which is 
Now that we know the values for length and width, we can calculate the area of the triangle:
Example Question #614 : Basic Geometry
Find the length of a diagonal of a square with side length 6.
To find the diagonal of a square recall that the diagonal will create a triangle where the width and length are legs of the triangle and the diagonal is the hypotenuse.
To solve, simple use the Pythagorean Theorem and solve for the hypotenuse, which will be the diagonal of the square.
Thus,
Example Question #208 : Rectangles
A rectangle has length of 
To calculate the area, we first need to find the width of the rectangle. With the provided information, we can find the width as such:
We can then solve for area:
Example Question #616 : Basic Geometry
A rectangle has a width of 
Before we can solve for area, we must first solve for the length of the rectangle. Since we have a value for width and the diagonal, we can use the Pythagorean Theorem:
Now that we have values for both length and width, we can calculate the area of the rectangle:
Example Question #617 : Basic Geometry
If Betty's barn with a width of 
To find the area of the barn, we must first find the length. We can do this by using the given information to draft an algebraic equation:
Now that we know both the length and width, we can determine the area of the barn:
Example Question #615 : Basic Geometry
Find the area of a rectangle given length 7 and width 2.
To solve, simply use the formula for the area of a rectangle. Thus,
If you forget the formula, simply imagine you have two rows of blocks with 7 in them each. If you count the total number of blocks you have, you will realize you have 14!
Example Question #619 : Basic Geometry
If the radius of the circle is 
In order to find the area of the shaded region, we will need to subtract the area of the circle from the area of the rectangle.
Let's start by finding the area of a circle. Recall the formula to find the area of a circle:
Substitute in the value of the radius, which is given by the question.
Now, recall how to find the area of a rectangle.
Substitute in the values given by the figure to find the area of the rectangle.
Now, find the area of the shaded region.
Solve and round to two decimal places.
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