Common Core: 7th Grade Math : Solve for area of a rectangle

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

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Example Questions

Example Question #2 : Solve Problems Involving Area, Volume And Surface Area Of Two And Three Dimensional Objects: Ccss.Math.Content.7.G.B.6

Calculate the area of the provided figure.

1

Possible Answers:

Correct answer:

Explanation:

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

Now that we have the correct formula, we can substitute in our known values and solve: 

Example Question #3 : Solve Problems Involving Area, Volume And Surface Area Of Two And Three Dimensional Objects: Ccss.Math.Content.7.G.B.6

Calculate the area of the provided figure.

2

Possible Answers:

Correct answer:

Explanation:

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

Now that we have the correct formula, we can substitute in our known values and solve: 

Example Question #911 : Grade 7

Abcdrectangle

In rectangle ABCD, the perimeter is 48 and side BC measures 4. What is the area of rectangle ABCD?

Possible Answers:

72

48

64

88

80

Correct answer:

80

Explanation:

The perimeter of a rectangle is 2L + 2W, or 2 times the length plus 2 times the width.  Here you're given that side BC is 4, which means that the opposite side, AD, is also 4.  So since that is two widths, you now have:

8 + 2L = 48

So 2L = 40

That means that the length is 20.

Since the area is LW, you can calculate the area as 20 * 4 = 80.

Example Question #3 : Solve For Area Of A Rectangle

Wxyz

What is the area of rectangle WXYZ?

Possible Answers:

100

125

150

50

120

Correct answer:

150

Explanation:

The area of a triangle is Length times Width. Here you can see that the length is 15 and the width is 10, so when you multiply 15 * 10 the answer is 150.

Example Question #4 : Solve For Area Of A Rectangle

A rectangle's length is twice as long as its width. If the width of the rectangle is 4, what is its area?

Possible Answers:

8

12

24

16

32

Correct answer:

32

Explanation:

The area of a rectangle is Length * Width. Here you're given the width as 4, so all you need to do is find the length and you can apply the formula.

Since the width is 4 and you know that the length is twice as long, that makes the length 8. Then Length * Width would be 8 * 4 = 32.

Example Question #1 : Solve For Area Of A Rectangle

A rectangle has sides of 2, 2, 7, and 7. What is the area of that rectangle?

Possible Answers:

18

7.5

9

22

14

Correct answer:

14

Explanation:

The area of a triangle is Length * Width, and in a rectangle opposite sides are parallel and have the same length. So here you know that the widths are 2 and the lengths are 7. So multiply 7 * 2 to get your answer, which is 14.

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