Basic Geometry : Quadrilaterals

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

Example Question #201 : Quadrilaterals

A rectangle has a width of , and a lenth of . Find the perimeter. 

Possible Answers:

Correct answer:

Explanation:

To find perimeter, you add the sides of the rectangle together. In this case, that would be:

Example Question #202 : Quadrilaterals

Find the area of a rectangle given length 7 and width 8.

Possible Answers:

Correct answer:

Explanation:

To solve, simply use the formulaf or the area of a rectangle. Thus,

Example Question #203 : Quadrilaterals

Find the area of a rectangle given length of 5 and width of 7.

Possible Answers:

Correct answer:

Explanation:

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 #204 : Quadrilaterals

Find the area of a rectanlge with width 4 and length 7.

Possible Answers:

Correct answer:

Explanation:

To solve, simply use the formula for the area of a rectangle.

Example Question #205 : Quadrilaterals

Find the area of a square with side length 2.

Possible Answers:

Correct answer:

Explanation:

To solve, simply use the formula for the area of a square. Thus,

Example Question #206 : Rectangles

 

If a rectangle has a width of and a length that is double the width, what would be the area of the rectangle? Round to the nearest tenth.

Possible Answers:

Correct answer:

Explanation:

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 , we can determine length as such:

Now that we know the values for length and width, we can calculate the area of the triangle:

Example Question #206 : Quadrilaterals

Find the length of a diagonal of a square with side length 6.

Possible Answers:

Correct answer:

Explanation:

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 and width that is one fourth the length. What would be the area of the rectangle rounded to the nearest tenth?

Possible Answers:

Correct answer:

Explanation:

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 and a diagonal of . Find the area of the rectangle, rounding all values to the nearest tenth.

Possible Answers:

Correct answer:

Explanation:

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 and a length that is short of four times the width, what would be the area of the floor space of the barn?

Possible Answers:

Correct answer:

Explanation:

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:

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