Basic Geometry : How to find the area of a rectangle

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

Example Question #91 : How To Find The Area Of A Rectangle

Rec 2

If , find the area of the rectangle.

Possible Answers:

Correct answer:

Explanation:

To find the area of the rectangle, use the formula 

.  

In this case the base of the rectangle is , because the base is 

.  

Since the height is , the height is .  

Now that we know the base is  and the height is  , multiply these two numbers together to get a final area of .

Example Question #92 : How To Find The Area Of A Rectangle

Rec 3

If the area of the above rectangle is 27, find the value of .

Possible Answers:

Too little information to determine.

Correct answer:

Explanation:

To find the value of the side of a rectangle, first think about the area 27, in terms of the formula used to find the area of a rectangle.  

The area of a rectangle can be found with the equation: 

.  

In terms of our problem, this means that 

,

or 

.  

Now, plug 27 into this equation and work backwards to solve for s algebraically:

I. 

II. 

III. 

Therefore, the value of s is 3.

Example Question #231 : Rectangles

Rec 4

Find the area of the above rectangle.

Possible Answers:

Correct answer:

Explanation:

To find the area of the rectangle, use the formula 

.  

In this case, the base is 8 and the height is 1/2.  

Although the 1/2 is a fraction, it is still a measurement and therefore we just multiply the two numbers.  

The answer is 4 because 

.

Example Question #91 : How To Find The Area Of A Rectangle

Rec 5

Find the area of the rectangle in terms of variables.

Possible Answers:

Correct answer:

Explanation:

Although we are not finding a whole number solution, we can still use the same formula to find the area of the rectangle.  

That formula is 

.  

In this case, the base is  and the height is .  

Therefore, to find the area, we multiply these two sides to get a final area of .

Example Question #91 : How To Find The Area Of A Rectangle

Rec 6

Find the area of the above rectangle and include units in your answer.

Possible Answers:

Correct answer:

Explanation:

To find the area of any rectangle, multiply the base and height.  

Use this formula: 

.  

In this case, the base is 8 and the height is 3.  

When we multiply 8 by 3, the answer is 24, so that is the area of the rectangle.  

The unit of each side is centimeters, so when you multiply them together, the unit of area is centimeters squared.

Example Question #91 : How To Find The Area Of A Rectangle

Rec 7 

Find the area of the rectangle.

Possible Answers:

Correct answer:

Explanation:

To find the area of any rectangle, multiply the base and height.  

Use this formula: 

.  

In this case, the base is 42 and the height is 89.  

When we multiply 42 by 89, the answer is 3738, so that is the area of the rectangle.

Example Question #92 : How To Find The Area Of A Rectangle

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?

Possible Answers:

The infield has a greater area.

The basketball court has a greater area.

They have the exact same area.

Correct answer:

The infield has a greater area.

Explanation:

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 (meters) and a length that is more than twice the width of the lot space. What is the total area of the lot?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Not enough information is given.

Correct answer:

Explanation:

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 #93 : How To Find The Area Of A Rectangle

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?

Possible Answers:

None of the answers given are correct

Correct answer:

Explanation:

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

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