Tag: perimeter and area

Quizzes (6) Questions (6)

Questions Related to perimeter and area

Multiple choice maths perimeter and area converting between units of areas the metric system metric system

The area of a square field is $30\dfrac {1}{4}m^2$. Calculate the length of the side of the square.

  1. $5\dfrac {1}{3}m$
  2. $5\dfrac {1}{2}m$
  3. $5\dfrac {2}{5}m$
  4. $5\dfrac {1}{4}m$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let side of square field be $x$.


Then area of square field $= x^2$


According to question

$x^2 = 30 \dfrac{1}{4} m^2$

$x^2 = \dfrac{121}{4} m^2$

$x = \dfrac{\sqrt{121}}{\sqrt{4}} m$

$x = \dfrac{11}{2}$

Hence side of square field is $5 \dfrac{1}{2} m$

Option (B)

Multiple choice maths perimeter and area converting between units of areas the metric system metric system

The area of a square field is $80\dfrac {244}{729}$ square metres. Find the length of each sides field.

  1. $8\dfrac {25}{27}m$
  2. $8\dfrac {24}{27}m$
  3. $8\dfrac {26}{27}m$
  4. $8\dfrac {22}{27}m$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Given area of square field $= 80 \dfrac{244}{729} m^2$


Let us assume that side of square field is x 


Then area of field $= x^2$

According to question

$x^2 = 80 \dfrac{244}{729} m^2$

$x^2 = \dfrac{58,564}{729} m^2$

$x = \dfrac{\sqrt{58,564}}{\sqrt{729}} m$

$x = \dfrac{242}{27} m$

Hence side of field is $8 \dfrac{26}{27} m$.

Option (C)

Multiple choice maths perimeter and area converting between units of areas the metric system metric system

The area of a square field is $325\ m^2$. Find the approximate length of one side of the field. (upto 2 places of decimals) (in $m^2$)

  1. $19.03$
  2. $18.02$
  3. $18.03$
  4. $17.03$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

We know area of any square is its side x side 

Let us assume that side of square field is x 
Then area of square field $= x^2$
According to question

$x^2 = 325 m^2$

$\Rightarrow x^2 = 325$

$x = \sqrt{325}$

So $x = 18.03$

Hence side of square field is $18.03 m$

option (C)

Multiple choice maths perimeter and area converting between units of areas the metric system metric system

The area of a square playground is $256.6404$ square metres. Find the length of one side of the playground.

  1. $16.04$ metres
  2. $16.02$ metres
  3. $16.06$ metres
  4. $16.08$ metres
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let side of square play ground be x

Then area of square play ground will be $x^2$
According to question

$x^2 = 256.6404 m^2$

$x = \sqrt{256.6404} m$

$x = \dfrac{\sqrt{2566404}}{\sqrt{10000}} m$

$= \dfrac{1602}{100}$

Hence side of square is $16.02 m$

Option (B)