simple Geometry help » plane Geometry » square » Squares » just how to find the length of the side of a square


A square has actually an area of

*
, what is the length of the side?


*


*


*


Explanation:

The sides deserve to be uncovered by acquisition the square root of the area.

You are watching: How to find the side of a square

*
, whereby
*
= side.

*
.

So the length of a next is 6.3 cm.


Explanation:

First, recognize that every the next lengths of a square room equal. Second, understand that the sum of all 4 side lengths gives us the perimeter. Thus, the square perimeter that 16 is written as

*

*

where S is the side length of a square. Deal with for this S

*

So the size of every side that this square is 4.


A playground is fastened by a square fence. The area that the playground is

*
*
. The perimeter that the fence is
*
*
. What is the size of one side of the fence?

 


Explanation:

We will have actually two formulas to help us fix this problem, the area and also perimeter that a square.

The area that a square is:

*
*
 
*
*
,

where

*
length of the square and also
*
broad of the square.

The perimeter that a square is:

*
*
*
*
*
*

Plugging in our values, us have:

*
*
*
*
*
*

*
*
*
*
*
*
*
*

 Since every sides that a square have actually the very same value, we deserve to replace all

*
and also
*
v
*
(side). Ours equations become:

*
*
*
 
*

*
*
*
 
*

Therefore,

*
*
*
.


Explanation:

The area of any type of quadrilateral have the right to be established by multiplying the length of its basic by its height.

Since we understand the shape here is square, we recognize that every sides room of equal length. Native this we have the right to work backwards by taking the square source of the area to discover the size of one side.

*

The size of one (and each) next of this square is 6 inches.


Explanation:

One of the necessary conditions of a square is the all political parties be of same length. Therefore, since we are given the length of one side we know the size of every sides and that consists of the size of opposing side. Due to the fact that the size of one of the sides is 4 we deserve to conclude that every one of the sides are 4, meaning the the opposite side has a length of 4.


Explanation:

We start by recalling the formulas for the perimeter and also area the a square respectively.

*

*

Using these formulas and also the reality that the perimeter is half the area, us can develop an equation.

*

We can multiply both political parties by 2 to get rid of the fraction.

*

To acquire one side of the equation equal to zero, we will certainly move every little thing to the right side.

*

Next we have the right to factor.

*

Setting each variable equal come zero offers two potential solutions.

*
or
*

*

However, because a square cannot have a next of size 0, 8 is our just answer.


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Example concern #7 : exactly how To discover The length Of The next Of A Square


If the area that the square is 100 square units, what is, in units, the size of one next of the square?


Possible Answers:
Correct answer:

*


Explanation:

*

*

*


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Example concern #8 : how To uncover The length Of The next Of A Square


In Square 

*
*
. Evaluate 
*
 in state of 
*
.


Possible Answers:
Correct answer:

*


Explanation:

If diagonal 

*
 of Square 
*
 is constructed, then 
*
*
*
 can be calculated together follows:

*
.


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Example question #9 : just how To uncover The size Of The next Of A Square


The circle the circumscribes Square 

*
 has one 20. To the nearest tenth, evaluate 
*
.


Possible Answers:
Correct answer:

*


Explanation:

The diameter the a circle v circumference 20 is

*

The diameter that a circle the circumscribes a square is same to the size of the diagonals of the square.

If diagonal 

*
 of Square 
*
 is constructed, then 
*
*
 to acquire the sidelength of the square:

*


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Example question #10 : exactly how To discover The size Of The side Of A Square


Rectangle 

*
 has area 90% of that of Square 
*
, and 
*
 is 80% of 
*
. What percent that
*
 is 
*
?


Possible Answers:
Correct answer:

*


Explanation:

The area that Square 

*
 is the square of sidelength 
*
, or 
*
.

The area of Rectangle 

*
 is 
*
. Rectangle 
*
 has area 90% of the of Square 
*
, which is 
*
;
*
 is 80% of 
*
, so 
*
. We can collection up the following equation: 

*

*

*

*

*

As a percent, 

*
 of 
*
 is 
*

 


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