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Basic Geometry : Quadrilaterals

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

Example Question #1 : How To Find The Area Of A Rectangle

What is the area of the rectangle in the diagram?

Possible Answers:

$90\ cm^{2}$ $\displaystyle 90\ cm^{2}$

$84\ cm^{2}$ $\displaystyle 84\ cm^{2}$

$144\ cm^{2}$ $\displaystyle 144\ cm^{2}$

$49\ cm^{2}$ $\displaystyle 49\ cm^{2}$

$19\ cm^{2}$ $\displaystyle 19\ cm^{2}$

Correct answer:

$84\ cm^{2}$ $\displaystyle 84\ cm^{2}$

Explanation:

The area of a rectangle is found by multiplying the length by the width.

$\displaystyle Area=l(w)$

The length is 12 cm and the width is 7 cm.

$12\cdot 7=84$ $\displaystyle 12\cdot 7=84$

Therefore the area is 84 cm².

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Example Question #3 : How To Find The Area Of A Rectangle

What is the area of a rectangle whose length and width is $\displaystyle 14$ inches and $\displaystyle 18$ inches, respectively?

Possible Answers:

$64\, in^2$ $\displaystyle 64\, in^2$

$128\, in^2$ $\displaystyle 128\, in^2$

$148\, in^2$ $\displaystyle 148\, in^2$

$252\,in^2$ $\displaystyle 252\,in^2$

$220\, in^2$ $\displaystyle 220\, in^2$

Correct answer:

$252\,in^2$ $\displaystyle 252\,in^2$

Explanation:

The area of any rectangle with length, $\displaystyle l$ and width, $\displaystyle w$ is:

$A=l\times w$ $\displaystyle A=l\times w$

$A=14\times 18$ $\displaystyle A=14\times 18$

$A=252\, in^2$ $\displaystyle A=252\, in^2$

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Example Question #3 : How To Find The Area Of A Rectangle

What is the area of a rectangle that has a length of $\displaystyle 2$ and a width of $\displaystyle 20$ ?

Possible Answers:

$\displaystyle 80$

$\displaystyle 40$

$\displaystyle 22$

$\displaystyle 10$

Correct answer:

$\displaystyle 40$

Explanation:

Recall how to find the area of a rectangle:

$\text{Area}=\text{length}\times\text{width}$ $\displaystyle \text{Area}=\text{length}\times\text{width}$

Now, plug in the given length and width to find the area.

$\text{Area}=2 \times 20=40$ $\displaystyle \text{Area}=2 \times 20=40$

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Example Question #4 : How To Find The Area Of A Rectangle

What is the area of a rectangle that has a length of $\displaystyle 12$ and a width of $\displaystyle 10$ ?

Possible Answers:

120 $\displaystyle 120$

$\displaystyle 22$

$\displaystyle 60$

130 $\displaystyle 130$

Correct answer:

120 $\displaystyle 120$

Explanation:

Recall how to find the area of a rectangle:

$\text{Area}=\text{length}\times\text{width}$ $\displaystyle \text{Area}=\text{length}\times\text{width}$

Now, plug in the given length and width to find the area.

$\text{Area}=12 \times 10= 120$ $\displaystyle \text{Area}=12 \times 10= 120$

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Example Question #1 : How To Find The Area Of A Rectangle

What is the area of a rectangle that has a length of $\displaystyle 8$ and a width of $\displaystyle 30$ ?

Possible Answers:

240 $\displaystyle 240$

$\displaystyle 38$

120 $\displaystyle 120$

360 $\displaystyle 360$

Correct answer:

240 $\displaystyle 240$

Explanation:

Recall how to find the area of a rectangle:

$\text{Area}=\text{length}\times\text{width}$ $\displaystyle \text{Area}=\text{length}\times\text{width}$

Now, plug in the given length and width to find the area.

$\text{Area}=8 \times 30= 240$ $\displaystyle \text{Area}=8 \times 30= 240$

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Example Question #5 : How To Find The Area Of A Rectangle

What is the area of a rectangle that has a length of 100 $\displaystyle 100$ and a width of $\displaystyle 4$ ?

Possible Answers:

104 $\displaystyle 104$

600 $\displaystyle 600$

200 $\displaystyle 200$

400 $\displaystyle 400$

Correct answer:

400 $\displaystyle 400$

Explanation:

Recall how to find the area of a rectangle:

$\text{Area}=\text{length}\times\text{width}$ $\displaystyle \text{Area}=\text{length}\times\text{width}$

Now, plug in the given length and width to find the area.

$\text{Area}=100 \times 4= 400$ $\displaystyle \text{Area}=100 \times 4= 400$

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Example Question #151 : Quadrilaterals

What is the area of a rectangle that has a length of $\displaystyle 65$ and a width of $\displaystyle 20$ ?

Possible Answers:

1300 $\displaystyle 1300$

980 $\displaystyle 980$

650 $\displaystyle 650$

2600 $\displaystyle 2600$

Correct answer:

1300 $\displaystyle 1300$

Explanation:

Recall how to find the area of a rectangle:

$\text{Area}=\text{length}\times\text{width}$ $\displaystyle \text{Area}=\text{length}\times\text{width}$

Now, plug in the given length and width to find the area.

$\text{Area}=65 \times 20= 1300$ $\displaystyle \text{Area}=65 \times 20= 1300$

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Example Question #152 : Quadrilaterals

What is the area of a rectangle that has a length of $\displaystyle 90$ and a width of $\displaystyle 40$ ?

Possible Answers:

5600 $\displaystyle 5600$

1800 $\displaystyle 1800$

130 $\displaystyle 130$

3600 $\displaystyle 3600$

Correct answer:

3600 $\displaystyle 3600$

Explanation:

Recall how to find the area of a rectangle:

$\text{Area}=\text{length}\times\text{width}$ $\displaystyle \text{Area}=\text{length}\times\text{width}$

Now, plug in the given length and width to find the area.

$\text{Area}=90 \times 40= 3600$ $\displaystyle \text{Area}=90 \times 40= 3600$

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Example Question #153 : Quadrilaterals

What is the area of a rectangle that has a length of $\displaystyle 18$ and a width of $\displaystyle 6$ ?

Possible Answers:

$\displaystyle 96$

108 $\displaystyle 108$

$\displaystyle 54$

216 $\displaystyle 216$

Correct answer:

108 $\displaystyle 108$

Explanation:

Recall how to find the area of a rectangle:

$\text{Area}=\text{length}\times\text{width}$ $\displaystyle \text{Area}=\text{length}\times\text{width}$

Now, plug in the given length and width to find the area.

$\text{Area}=18 \times 6= 108$ $\displaystyle \text{Area}=18 \times 6= 108$

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Example Question #154 : Quadrilaterals

What is the area of a rectangle that has a length of $\frac{4}{5}$ $\displaystyle \frac{4}{5}$ and a width of $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ ?

Possible Answers:

$\frac{13}{10}$ $\displaystyle \frac{13}{10}$

$\frac{7}{5}$ $\displaystyle \frac{7}{5}$

$\frac{1}{5}$ $\displaystyle \frac{1}{5}$

$\frac{2}{5}$ $\displaystyle \frac{2}{5}$

Correct answer:

$\frac{2}{5}$ $\displaystyle \frac{2}{5}$

Explanation:

Recall how to find the area of a rectangle:

$\text{Area}=\text{length}\times\text{width}$ $\displaystyle \text{Area}=\text{length}\times\text{width}$

Now, plug in the given length and width to find the area.

When multiplying fractions, multiply the numerators together and multiply the denominators together. After multiplication is done, find common factors in the numerator and denominator to cancel out and completely simplify the fraction.

$\\ \text{Area}=\frac{4}{5} \times \frac{1}{2}\\ \\ \text{Area}=\frac{4}{10}=\frac{2\cdot 2}{2\cdot 5}\\ \\\text{Area}= \frac{2}{5}$ $\displaystyle \\ \text{Area}=\frac{4}{5} \times \frac{1}{2}\\ \\ \text{Area}=\frac{4}{10}=\frac{2\cdot 2}{2\cdot 5}\\ \\\text{Area}= \frac{2}{5}$

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Basic Geometry : Quadrilaterals

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #1 : How To Find The Area Of A Rectangle

Example Question #3 : How To Find The Area Of A Rectangle

Example Question #3 : How To Find The Area Of A Rectangle

Example Question #4 : How To Find The Area Of A Rectangle

Example Question #1 : How To Find The Area Of A Rectangle

Example Question #5 : How To Find The Area Of A Rectangle

Example Question #151 : Quadrilaterals

Example Question #152 : Quadrilaterals

Example Question #153 : Quadrilaterals

Example Question #154 : Quadrilaterals

All Basic Geometry Resources

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