7th Grade Math : Geometry

Study concepts, example questions & explanations for 7th Grade Math

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Example Questions

Example Question #1 : Geometry

If a rectangle possesses a width of  and has a perimeter of , then what is the length? 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall the formula for perimeter of a rectangle:

We can substitute in our known values and solve for our unknown variable (i.e. length):

We want to isolate the  to one side of the equation. In order to do this, we will first subtract  from both sides of the equation. 

Next, we can divide each side by 

The length of the rectangle is 

Example Question #7 : 7th Grade Math

The figure represents a set of supplementary angles, solve for .


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Possible Answers:

Correct answer:

Explanation:

Supplementary angles are defined as two angles that when added together equal 

From the question, we know that the two angles are supplementary, and thus equal , so we can set up the following equation:

Next we can solve for :

Example Question #8 : 7th Grade Math

What is the area of the circle provided? 


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Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall the formula for the area of a circle: 

The circle in this question provides us with the diameter, so we first have to solve for the radius. Remember, the radius is half the diameter:

Now that we have the radius we can use the formula to solve:

Solve:

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