A median of a triangle divides it into two

Important Questions on Areas of Parallelograms and Triangles

EASY

9th CBSE

IMPORTANT

Full Marks Mathematics 9>Chapter 9 - Areas of Parallelograms and Triangles>TEST YOUR SKILLS>Q 5

Which of the following figure is having two polygons on the same base and between the same parallels?

HARD

9th CBSE

IMPORTANT

Full Marks Mathematics 9>Chapter 9 - Areas of Parallelograms and Triangles>TEST YOUR SKILLS>Q 6

The area of a parallelogram $\mathrm{A}\mathrm{B}\mathrm{C}\mathrm{D}$ is $40\mathrm{}\mathrm{c}{\mathrm{m}}^2$. If $\mathrm{E},\mathrm{F},\mathrm{G}\mathrm{}$ and $\mathrm{}\mathrm{H}$ are midpoints of $\mathrm{A}\mathrm{B},\mathrm{B}\mathrm{C},\mathrm{}\mathrm{C}\mathrm{D}\mathrm{}$ and $\mathrm{}\mathrm{A}\mathrm{D}$ respectively, then what is the area of $\mathrm{}\mathrm{E}\mathrm{F}\mathrm{G}\mathrm{H}$?

MEDIUM

9th CBSE

IMPORTANT

Full Marks Mathematics 9>Chapter 9 - Areas of Parallelograms and Triangles>TEST YOUR SKILLS>Q 7

The area of a triangle $\mathrm{A}\mathrm{B}\mathrm{C}$ is $15\mathrm{}\mathrm{c}{\mathrm{m}}^2$, if $\mathrm{\Delta }\mathrm{A}\mathrm{B}\mathrm{C}$ and a parallelogram $\mathrm{A}\mathrm{BDP}$ are on the same base and between the parallels then what is the area of the parallelogram $\mathrm{A}\mathrm{B}\mathrm{P}\mathrm{D}$?

MEDIUM

9th CBSE

IMPORTANT

Full Marks Mathematics 9>Chapter 9 - Areas of Parallelograms and Triangles>TEST YOUR SKILLS>Q 8

A rectangle and a parallelogram are on the same base and between the same parallel. If the area of the triangle is $30 \mathrm{c}{\mathrm{m}}^2$ then what is the area of the parallelogram?

MEDIUM

9th CBSE

IMPORTANT

Full Marks Mathematics 9>Chapter 9 - Areas of Parallelograms and Triangles>TEST YOUR SKILLS>Q 9

The sides of a rectangle are $8\mathrm{}\mathrm{c}\mathrm{m}$ and $6\mathrm{}\mathrm{c}\mathrm{m}$ the midpoints of its adjacent sides are joined to form a quadrilateral. What is the area of the quadrilateral so formed?

MEDIUM

9th CBSE

IMPORTANT

Full Marks Mathematics 9>Chapter 9 - Areas of Parallelograms and Triangles>TEST YOUR SKILLS>Q 10

$PQRS$ is a parallelogram such that $SL\mathit{\perp }PQ\mathit{,}\mathit{ }QN\mathit{\perp }PS$ and $QM\mathit{\perp }SR$. Then, which of the following is the area of parallelogram $PQRS$?

HARD

9th CBSE

IMPORTANT

Full Marks Mathematics 9>Chapter 9 - Areas of Parallelograms and Triangles>TEST YOUR SKILLS>Q 11

In the figure, if parallelogram $PQFE$ and rectangle $PQRS$ are of equal area, then which of the following is true?

MEDIUM

9th CBSE

IMPORTANT

Full Marks Mathematics 9>Chapter 9 - Areas of Parallelograms and Triangles>TEST YOUR SKILLS>Q 12

If two parallelogram are on equal base in between the same parallels, then what is the ratio of their areas?