Tag: area of a parallelogram

Quizzes (0) Questions (51)

Questions Related to area of a parallelogram

Multiple choice maths perimeter and area of rectilinear figures parallelogram and rectangle area of parallelogram area of a parallelogram

If the area of a parallelogram is $144 \operatorname { cm } ^ { 2 }$ and its base is $9 cm$. then its height is 

  1. $8 cm$
  2. $12 cm$
  3. $24 cm$
  4. $16 cm$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Area of parallelogram $=base\times height$


$\Rightarrow$ $144{cm}^{2}=9cm\times 10cm$


$\Rightarrow$ $h$ in $cm=\cfrac{144{cm}^{2}}{9cm}$

$\therefore$ $h=16cm$

Hence height $=16cm$

Multiple choice maths perimeter and area of rectilinear figures parallelogram and rectangle area of parallelogram area of a parallelogram

Area of the parallelogram formed by the pairs of lines $x^{2}+xy-^{2}=0$ and $x^{2}+xy-y^{2}-3x-4y+1=0$ is

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

The area of a parallelogram formed by two pairs of parallel lines is given by the formula |c1-c2|*|d1-d2| / |ab'-a'b|. Calculating this for the given equations yields 2*sqrt(5).

Multiple choice maths perimeter and area of rectilinear figures parallelogram and rectangle area of parallelogram area of a parallelogram

A parallelogram has sides 12 cm and 9 cm. If the distance between its shorter sides is 8 cm, find the distance between its longer side.

  1. $3 \ cm$
  2. $6 \ cm$
  3. $9 \ cm$
  4. $12 \ cm$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Adjacent sides of parallelogram $= 12\ cm$ and $9\ cm$

Distance between shorter sides $= 8\ cm$

Area of parallelogram = $b \times h =9 \times 8 =72 \ cm^2$

Again, area of parallelogram = $b \times h$
$72 =12 \times h$
$h= 6 \ cm$

Therefore, the distance between its longer side $= 6\ cm.$

Multiple choice maths perimeter and area of rectilinear figures parallelogram and rectangle area of parallelogram area of a parallelogram

Find the area of the parallelogram whose base is $17\ cm$ and height $0.8\ m$?

  1. $\displaystyle 13.6\:cm^{2}$
  2. $\displaystyle 1360\:cm^{2}$
  3. $\displaystyle 13.6\:m^{2}$
  4. $\displaystyle 1360\:m^{2}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Base $= 17\ cm$
Height $= 0.8\ m =0.8 \times 100 = 80\ cm$
Area of parallelogram 
$= b \times h$
$= 17\times 80$
$= 1360\ cm^2$

Multiple choice maths perimeter and area of rectilinear figures parallelogram and rectangle area of parallelogram area of a parallelogram

A rectangle and a parallelogram have equal areas. If the sides of the rectangle are $10 m$ and $12 m$ and the base of the parallelogram is $20 m$, then the altitude of the parallelogram is:

  1. $7 m$
  2. $6 m$
  3. $5 m$
  4. $3 m$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Area of the rectangle $= l \times b = 10 m \times 12 m$
                                     $= 120 m^{2}$
Area of parallelogram $= Base \times Altitude= 120 m^{2}$
$ \Rightarrow$ Altitude $= \cfrac{Area }{Base}=\cfrac{120m^{2}}{20m}=6m$

Multiple choice maths perimeter and area of rectilinear figures parallelogram and rectangle area of parallelogram area of a parallelogram

A rectangle and a parallelogram have equal areas. The base of the parallelogram is $20 cm$ and the altitude is $6 cm$. Which one of the following cannot be the ratio of dimensions of the rectangle?

  1. $7 : 5$
  2. $40 : 3$
  3. $15 : 2$
  4. $30 : 1$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Area of the rectangle $=$ Area of parallelogram
                                     $= 20 cm \times 6 m = 120 \displaystyle cm^{2}$
Now,                 
Ratio $= 7 : 5$             Ratio $= 40 : 3$
Product $= 35$            Product $= 120$
-------------------------------------------------------------
Ratio $= 15 :2$           Ratio $= 30 : 1$
Product $= 30$            Product $= 30$
$\displaystyle \therefore $ Ratio $= 7 : 5$ does not match with the condition as $120$ is not divisible by $35$.