Test Details

Areas of Parallelograms and Triangles

Test

Feb 10, 3:00 PM

40 minutes

Feb 10, 3:40 PM

23.0 marks

MCQ

13 questions

SURYA KANT SHARMA

...

Class Details

Maths

Tarik Tuition 9th

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Question Text

Question 1 :
The area of a right angled triangle is $20\:cm^2$ and one of the sides containing the right angle is 4 cm. The altitude on the hypotenuse is

Question 2 :
For $a,b,c,d\in N$, the area of the parallelogram bounded by the lines $y=ax+c,y=ax+d,y=bx+c$ and $y=bx+d$ is $18$ while the area of the parallelogram bounded by the lines $y=ax+c,y=ax-d,y=bx+c$ and $y=bx-d$ is $72$. The least possible value of $a+b+c+d$ will be:

Question 3 :
A rectangle and a rhombus are on the same base and between the same parallels. The ratio of their areas is :

Question 4 :
Assertion: The area of a parallelogram and a rectangle having a common base and between same parallels are equal. Reason: Another name of a rectangle is a parallelogram.

Question 5 :
Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is :<br/>

Question 6 :
$PQRS$ is the smallest square whose vertices are on the respective sides of the square $ABCD$. The ratio of the areas of $\square PQRS$ to $\square ABCD$ is

Question 7 :
Given two parallelogram $ABCD$ and $CDEF$ on the same base $CD. $The height of parallelogram $ABCD$ is same as the height of parallelogram $CDEF.$ Area of  $ABCD$ is $50 m^{2}$. Find the area of parallelogram $CDEF.$

Question 9 :
For $3$ parallelograms, $A$, $B$ and $C$, parallelograms $A$ and $B$ shares same base $l$ and lie along same parallels $l$ and $m$. Similarly the parallelograms $B$ and $C$ shares the same base $m$ and between the same parallels. The area of all three parallelograms will be equal.

Question 11 :
Two parallelograms are on the same base and between the same parallels. The ratio of their areas is :<br/>

Question 12 :
ABC is a right angled at B with $BC = 6$ and $AC = 10\ cm$. Also $\triangle ABC$ and $\triangle BCD$ are on the same base $BC$. Find $ar (\triangle BCD)$.

Question 13 :
One side of a parallelogram is $16\ cm$ and the distance of this side from the opposite side is $4.5\ cm$. The area of the parallelogram is

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