Basic Geometry : Basic Geometry

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

Example Question #951 : Basic Geometry

If the area of a square is \(\displaystyle 1369\), find the length of one side of the square.

Possible Answers:

\(\displaystyle 18\)

\(\displaystyle 48\)

\(\displaystyle 37\)

\(\displaystyle 74\)

Correct answer:

\(\displaystyle 37\)

Explanation:

Recall how to find the area of a square:

\(\displaystyle \text{Area}=\text{side length}^2\)

We can rewrite that equation into the following:

\(\displaystyle \text{side length}=\sqrt{\text{Area}}\)

Now, plug in the given area to find the side length of the square.

\(\displaystyle \text{Side length}=\sqrt{1369}=37\)

Example Question #952 : Basic Geometry

If the area of a square is \(\displaystyle 729\), find the length of one side of the square.

Possible Answers:

\(\displaystyle 81\)

\(\displaystyle 9\)

\(\displaystyle 27\)

\(\displaystyle 54\)

Correct answer:

\(\displaystyle 27\)

Explanation:

Recall how to find the area of a square:

\(\displaystyle \text{Area}=\text{side length}^2\)

We can rewrite that equation into the following:

\(\displaystyle \text{side length}=\sqrt{\text{Area}}\)

Now, plug in the given area to find the side length of the square.

\(\displaystyle \text{Side length}=\sqrt{729}=27\)

Example Question #953 : Basic Geometry

If the area of a square is \(\displaystyle 361\), find the length of one side of the square.

Possible Answers:

\(\displaystyle 21\)

\(\displaystyle 18\)

\(\displaystyle 38\)

\(\displaystyle 19\)

Correct answer:

\(\displaystyle 19\)

Explanation:

Recall how to find the area of a square:

\(\displaystyle \text{Area}=\text{side length}^2\)

We can rewrite that equation into the following:

\(\displaystyle \text{side length}=\sqrt{\text{Area}}\)

Now, plug in the given area to find the side length of the square.

\(\displaystyle \text{Side length}=\sqrt{361}=19\)

Example Question #954 : Basic Geometry

If the area of a square is \(\displaystyle 676\), find the length of one side of the square.

Possible Answers:

\(\displaystyle 24\)

\(\displaystyle 22\)

\(\displaystyle 28\)

\(\displaystyle 26\)

Correct answer:

\(\displaystyle 26\)

Explanation:

Recall how to find the area of a square:

\(\displaystyle \text{Area}=\text{side length}^2\)

We can rewrite that equation into the following:

\(\displaystyle \text{side length}=\sqrt{\text{Area}}\)

Now, plug in the given area to find the side length of the square.

\(\displaystyle \text{Side length}=\sqrt{676}=26\)

Example Question #955 : Basic Geometry

If the area of a square is \(\displaystyle 4624\), find the length of one side of the square.

Possible Answers:

\(\displaystyle 78\)

\(\displaystyle 62\)

\(\displaystyle 66\)

\(\displaystyle 68\)

Correct answer:

\(\displaystyle 68\)

Explanation:

Recall how to find the area of a square:

\(\displaystyle \text{Area}=\text{side length}^2\)

We can rewrite that equation into the following:

\(\displaystyle \text{side length}=\sqrt{\text{Area}}\)

Now, plug in the given area to find the side length of the square.

\(\displaystyle \text{Side length}=\sqrt{4624}=68\)

Example Question #956 : Basic Geometry

If the area of a square is \(\displaystyle 1521\), find the length of one side of the square.

Possible Answers:

\(\displaystyle 39\)

\(\displaystyle 49\)

\(\displaystyle 29\)

\(\displaystyle 19\)

Correct answer:

\(\displaystyle 39\)

Explanation:

Recall how to find the area of a square:

\(\displaystyle \text{Area}=\text{side length}^2\)

We can rewrite that equation into the following:

\(\displaystyle \text{side length}=\sqrt{\text{Area}}\)

Now, plug in the given area to find the side length of the square.

\(\displaystyle \text{Side length}=\sqrt{1521}=39\)

Example Question #957 : Basic Geometry

If the area of a square is \(\displaystyle 2209\), find the length of one side of the square.

Possible Answers:

\(\displaystyle 27\)

\(\displaystyle 57\)

\(\displaystyle 37\)

\(\displaystyle 47\)

Correct answer:

\(\displaystyle 47\)

Explanation:

Recall how to find the area of a square:

\(\displaystyle \text{Area}=\text{side length}^2\)

We can rewrite that equation into the following:

\(\displaystyle \text{side length}=\sqrt{\text{Area}}\)

Now, plug in the given area to find the side length of the square.

\(\displaystyle \text{Side length}=\sqrt{2209}=47\)

Example Question #958 : Basic Geometry

If the area of a square is \(\displaystyle 5476\), find the length of one side of the square.

Possible Answers:

\(\displaystyle 84\)

\(\displaystyle 94\)

\(\displaystyle 64\)

\(\displaystyle 74\)

Correct answer:

\(\displaystyle 74\)

Explanation:

Recall how to find the area of a square:

\(\displaystyle \text{Area}=\text{side length}^2\)

We can rewrite that equation into the following:

\(\displaystyle \text{side length}=\sqrt{\text{Area}}\)

Now, plug in the given area to find the side length of the square.

\(\displaystyle \text{Side length}=\sqrt{5476}=74\)

Example Question #959 : Basic Geometry

If the area of a square is \(\displaystyle 6724\), find the length of one side of the square.

Possible Answers:

\(\displaystyle 72\)

\(\displaystyle 82\)

\(\displaystyle 92\)

\(\displaystyle 84\)

Correct answer:

\(\displaystyle 82\)

Explanation:

Recall how to find the area of a square:

\(\displaystyle \text{Area}=\text{side length}^2\)

We can rewrite that equation into the following:

\(\displaystyle \text{side length}=\sqrt{\text{Area}}\)

Now, plug in the given area to find the side length of the square.

\(\displaystyle \text{Side length}=\sqrt{6724}=82\)

Example Question #960 : Basic Geometry

If the area of a square is \(\displaystyle 784\), find the length of one side of the square.

Possible Answers:

\(\displaystyle 14\)

\(\displaystyle 56\)

\(\displaystyle 196\)

\(\displaystyle 28\)

Correct answer:

\(\displaystyle 28\)

Explanation:

Recall how to find the area of a square:

\(\displaystyle \text{Area}=\text{side length}^2\)

We can rewrite that equation into the following:

\(\displaystyle \text{side length}=\sqrt{\text{Area}}\)

Now, plug in the given area to find the side length of the square.

\(\displaystyle \text{Side length}=\sqrt{784}=28\)

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