Tag: perimeter and area of rectilinear figures

Quizzes (5) Questions (81)

Questions Related to perimeter and area of rectilinear figures

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 $35$.