ISEE Lower Level Quantitative : How to find the area of a rectangle

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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Example Questions

Example Question #2 : Rectangles

What is the area of the figure below?

 12

Possible Answers:

\displaystyle 59in^2

\displaystyle 47in^2

\displaystyle 24in^2

\displaystyle 35in^2

\displaystyle 52in^2

Correct answer:

\displaystyle 59in^2

Explanation:

To find the area of the figure above, we need to split the figure into two rectangles. 

12.5

Using our area formula, \displaystyle A=l\times w, we can solve for the area of both of our rectangles

\displaystyle A=7\times 5            \displaystyle A=6\times 4

\displaystyle A=35in^2           \displaystyle A=24in^2

To find our final answer, we need to add the areas together. 

\displaystyle 35in^2+24in^2=59in^2

 

Example Question #1 : Rectangles

What is the area of the figure below?

11

 

Possible Answers:

\displaystyle 12in^2

\displaystyle 28in^2

\displaystyle 32in^2

\displaystyle 22in^2

\displaystyle 10in^2

Correct answer:

\displaystyle 22in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

11.5

Using our area formula, \displaystyle A=l\times w, we can solve for the area of both of our rectangles

\displaystyle A=6\times 2            \displaystyle A=5\times 2

\displaystyle A=12in^2           \displaystyle A=10in^2

To find our final answer, we need to add the areas together. 

\displaystyle 12in^2+10in^2=22in^2

Example Question #3 : Rectangles

What is the area of the figure below?

10

Possible Answers:

\displaystyle 18in^2

\displaystyle 14in^2

\displaystyle 40in^2

\displaystyle 28in^2

\displaystyle 32in^2

Correct answer:

\displaystyle 32in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

10.5

Using our area formula, \displaystyle A=l\times w, we can solve for the area of both of our rectangles

\displaystyle A=7\times 2            \displaystyle A=6\times 3

\displaystyle A=14in^2           \displaystyle A=18in^2

To find our final answer, we need to add the areas together. 

\displaystyle 14in^2+18in^2=32in^2

Example Question #11 : Rectangles

What is the area of the figure below?


9

Possible Answers:

\displaystyle 24in^2

\displaystyle 112in^2

\displaystyle 96in^2

\displaystyle 100in^2

\displaystyle 72in^2

Correct answer:

\displaystyle 96in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

9.5

Using our area formula, \displaystyle A=l\times w, we can solve for the area of both of our rectangles

\displaystyle A=9\times 8            \displaystyle A=8\times 3

\displaystyle A=72in^2           \displaystyle A=24in^2

To find our final answer, we need to add the areas together. 

\displaystyle 72in^2+24in^2=96in^2

Example Question #3 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

What is the area of the figure below?

8

Possible Answers:

\displaystyle 8in^2

\displaystyle 12in^2

\displaystyle 24in^2

\displaystyle 28in^2

\displaystyle 32in^2

Correct answer:

\displaystyle 32in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

8.5

Using our area formula, \displaystyle A=l\times w, we can solve for the area of both of our rectangles

\displaystyle A=4\times 6            \displaystyle A=4\times 2

\displaystyle A=24in^2           \displaystyle A=8in^2

To find our final answer, we need to add the areas together. 

\displaystyle 24in^2+8in^2=32in^2

Example Question #4 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

What is the area of the figure below?

7

Possible Answers:

\displaystyle 18in^2

\displaystyle 34in^2

\displaystyle 36in^2

\displaystyle 25in^2

\displaystyle 9in^2

Correct answer:

\displaystyle 34in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

7.5

Using our area formula, \displaystyle A=l\times w, we can solve for the area of both of our rectangles

\displaystyle A=5\times 5            \displaystyle A=3\times 3

\displaystyle A=25in^2           \displaystyle A=9in^2

To find our final answer, we need to add the areas together. 

\displaystyle 25in^2+9in^2=34in^2

Example Question #5 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

What is the area of the figure below?


6

Possible Answers:

\displaystyle 40in^2

\displaystyle 48in^2

\displaystyle 36in^2

\displaystyle 8in^2

\displaystyle 44in^2

Correct answer:

\displaystyle 44in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

6.5

Using our area formula, \displaystyle A=l\times w, we can solve for the area of both of our rectangles

\displaystyle A=4\times 2            \displaystyle A=9\times 4

\displaystyle A=8in^2           \displaystyle A=36in^2

To find our final answer, we need to add the areas together. 

\displaystyle 8in^2+36in^2=44in^2

Example Question #6 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

What is the area of the figure below?


5

Possible Answers:

\displaystyle 9in^2

\displaystyle 40in^2

\displaystyle 22in^2

\displaystyle 35in^2

\displaystyle 31in^2

Correct answer:

\displaystyle 31in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

5.5

Using our area formula, \displaystyle A=l\times w, we can solve for the area of both of our rectangles

\displaystyle A=3\times 3            \displaystyle A=11\times 2

\displaystyle A=9in^2           \displaystyle A=22in^2

To find our final answer, we need to add the areas together. 

\displaystyle 9in^2+22in^2=31in^2

Example Question #7 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

What is the area of the figure below?


4

Possible Answers:

\displaystyle 40in^2

\displaystyle 24in^2

\displaystyle 62in^2

\displaystyle 64in^2

\displaystyle 68in^2

Correct answer:

\displaystyle 64in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

4.5

Using our area formula, \displaystyle A=l\times w, we can solve for the area of both of our rectangles

\displaystyle A=8\times 5            \displaystyle A=6\times 4

\displaystyle A=40in^2           \displaystyle A=24in^2

To find our final answer, we need to add the areas together. 

\displaystyle 40in^2+24in^2=64in^2

Example Question #8 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

What is the area of the figure below?

3

Possible Answers:

\displaystyle 24in^2

\displaystyle 28in^2

\displaystyle 4in^2

\displaystyle 18n^2

\displaystyle 16in^2

Correct answer:

\displaystyle 28in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

3.5

Using our area formula, \displaystyle A=l\times w, we can solve for the area of both of our rectangles

\displaystyle A=2\times 12            \displaystyle A=2\times 2

\displaystyle A=24in^2           \displaystyle A=4in^2

To find our final answer, we need to add the areas together. 

\displaystyle 24in^2+4in^2=28in^2

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