Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 08, 2023

Find the side length of a $196$ sq. in. square garden using vocabulary: the square root of $196$ is the side length.

STEP 1

Assumptions1. The area of the garden is196 square inches. The garden is square-shaped, so all sides have equal length3. The area of a square is calculated by squaring the length of one side

STEP 2

To find the length of each side of the square garden, we need to find the square root of the area. The square root of a number is a value that, when multiplied by itself, gives the original number.
$Side\, length = \sqrt{Area}$

STEP 3

Now, plug in the given value for the area to calculate the side length.
$Side\, length = \sqrt{196}$

STEP 4

Calculate the side length.
$Side\, length = \sqrt{196} =14$ Each side of the square garden is14 inches long. Vocabulary Review Solution1. cube root - a number whose cube equals the original number2. irrational number - a number that cannot be written in the form $\frac{a}{b}$ , where $a$ and $b$ are integers and $b \neq0$
3. perfect cube - the cube of an integer4. perfect square - a number that is the square of an integer. square root - a number that when multiplied by itself equals the original number

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