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

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

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Example Questions

Example Question #501 : Geometry

What is the area of the figure below?

11

Possible Answers:

\(\displaystyle 18in^2\)

\(\displaystyle 42in^2\)

\(\displaystyle 21in^2\)

\(\displaystyle 45in^2\)

\(\displaystyle 39in^2\)

Correct answer:

\(\displaystyle 39in^2\)

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

\(\displaystyle A=7\times 3\)            \(\displaystyle A=6\times 3\)

\(\displaystyle A=21in^2\)           \(\displaystyle A=18in^2\)

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

\(\displaystyle 21in^2+18in^2=39in^2\)

Example Question #124 : Plane Geometry

What is the area of the figure below?

10

Possible Answers:

\(\displaystyle 58in&2\)

\(\displaystyle 28in^2\)

\(\displaystyle 40in^2\)

\(\displaystyle 52in^2\)

\(\displaystyle 26in^2\)

Correct answer:

\(\displaystyle 52in^2\)

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

\(\displaystyle A=8\times 3\)            \(\displaystyle A=7\times 4\)

\(\displaystyle A=24in^2\)           \(\displaystyle A=28in^2\)

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

\(\displaystyle 24in^2+28in^2=52in^2\)

Example Question #1781 : Common Core Math: Grade 3

What is the area of the figure below?

9

Possible Answers:

\(\displaystyle 90in^2\)

\(\displaystyle 126in^2\)

\(\displaystyle 82in^2\)

\(\displaystyle 57in^2\)

\(\displaystyle 36in^2\)

Correct answer:

\(\displaystyle 126in^2\)

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

\(\displaystyle A=10\times 9\)            \(\displaystyle A=9\times 4\)

\(\displaystyle A=90in^2\)           \(\displaystyle A=36in^2\)

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

\(\displaystyle 90in^2+36in^2=126in^2\)

Example Question #232 : Hspt Mathematics

What is the area of the figure below?

8

Possible Answers:

\(\displaystyle 25in^2\)

\(\displaystyle 50in^2\)

\(\displaystyle 15in^2\)

\(\displaystyle 35in^2\)

\(\displaystyle 60in^2\)

Correct answer:

\(\displaystyle 50in^2\)

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

\(\displaystyle A=7\times 5\)            \(\displaystyle A=5\times 3\)

\(\displaystyle A=35in^2\)           \(\displaystyle A=15in^2\)

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

\(\displaystyle 35in^2+15in^2=50in^2\)

Example Question #233 : Hspt Mathematics

What is the area of the figure below?

7

Possible Answers:

\(\displaystyle 16in^2\)

\(\displaystyle 42in^2\)

\(\displaystyle 36in^2\)

\(\displaystyle 52in^2\)

\(\displaystyle 68in^2\)

Correct answer:

\(\displaystyle 52in^2\)

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

\(\displaystyle A=6\times 6\)            \(\displaystyle A=4\times 4\)

\(\displaystyle A=36in^2\)           \(\displaystyle A=16in^2\)

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

\(\displaystyle 36in^2+16in^2=52in^2\)

Example Question #234 : Hspt Mathematics

What is the area of the figure below?


6.5

Possible Answers:

\(\displaystyle 15in^2\)

\(\displaystyle 50in^2\)

\(\displaystyle 35in^2\)

\(\displaystyle 25in^2\)

\(\displaystyle 65in^2\)

Correct answer:

\(\displaystyle 65in^2\)

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

\(\displaystyle A=5\times 10\)            \(\displaystyle A=5\times 3\)

\(\displaystyle A=50in^2\)           \(\displaystyle A=15in^2\)

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

\(\displaystyle 50in^2+15in^2=65in^2\)

Example Question #31 : How To Find The Area Of A Figure

What is the area of the figure below?


5

Possible Answers:

\(\displaystyle 72in^2\)

\(\displaystyle 49in^2\)

\(\displaystyle 52in^2\)

\(\displaystyle 68in^2\)

\(\displaystyle 36in^2\)

Correct answer:

\(\displaystyle 52in^2\)

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

\(\displaystyle A=4\times 4\)            \(\displaystyle A=12\times 3\)

\(\displaystyle A=16in^2\)           \(\displaystyle A=36in^2\)

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

\(\displaystyle 16in^2+36in^2=52in^2\)

Example Question #31 : How To Find The Area Of A Figure

What is the area of the figure below?


4

Possible Answers:

\(\displaystyle 93in^2\)

\(\displaystyle 35in^2\)

\(\displaystyle 49in^2\)

\(\displaystyle 89in^2\)

\(\displaystyle 54in^2\)

Correct answer:

\(\displaystyle 89in^2\)

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

\(\displaystyle A=9\times 6\)            \(\displaystyle A=7\times 5\)

\(\displaystyle A=54in^2\)           \(\displaystyle A=35in^2\)

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

\(\displaystyle 54in^2+35in^2=89in^2\)

Example Question #32 : How To Find The Area Of A Figure

What is the area of the figure below?

3

Possible Answers:

\(\displaystyle 42in^2\)

\(\displaystyle 63in^2\)

\(\displaystyle 72in^2\)

\(\displaystyle 33in^2\)

\(\displaystyle 50in^2\)

Correct answer:

\(\displaystyle 42in^2\)

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

\(\displaystyle A=11\times 3\)            \(\displaystyle A=3\times 3\)

\(\displaystyle A=33in^2\)           \(\displaystyle A=9in^2\)

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

\(\displaystyle 33in^2+9in^2=42in^2\)

Example Question #33 : How To Find The Area Of A Figure

What is the area of the figure below?

1

Possible Answers:

\(\displaystyle 31in^2\)

\(\displaystyle 21in^2\)

\(\displaystyle 10in^2\)

\(\displaystyle 30in^2\)

\(\displaystyle 15in^2\)

Correct answer:

\(\displaystyle 31in^2\)

Explanation:

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

1.5

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

\(\displaystyle A=7\times 3\)            \(\displaystyle A=5\times 2\)

\(\displaystyle A=21in^2\)           \(\displaystyle A=10in^2\)

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

\(\displaystyle 21in^2+10in^2=31in^2\)

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