# Concept Of Area Of Region Free Doubts and Solutions

### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

## Which of the following figures lie on the same base and between the same parallels? Write the common base and the two parallels.(I) (II)

**Topperlearning User**17th August 2017, 12:27 PM

### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

## In the square ABCD of side 10 cm E and F are the mid points of AD and BC. Find the area of APE.

**Topperlearning User**17th August 2017, 12:26 PM

### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

## If E, F, G and H are respectively the mid points of the sides of a parallelogram ABCD, show that ar(EFGH) = ar(ABCD).

**Topperlearning User**17th August 2017, 12:25 PM

### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

## If each diagonal of a quadrilateral separates it into two triangles of equal area, then show that the quadrilateral is a parallelogram.

**Topperlearning User**17th August 2017, 12:24 PM

### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

## Prove that of all the parallelograms of the given sides, a rectangle has the greatest area.

**Topperlearning User**17th August 2017, 12:23 PM

### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

## In a parallelogram ABCD, AB = 20 cm. The altitude corresponding to the side AB and AD are 14 cm and 10 cm respectively. Find AD.

**Topperlearning User**17th August 2017, 12:22 PM

### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

## In a parallelogram PQRS, Take a point A on RS and join P and Q. In how many parts, the parallelogram is divided? What are the shapes of these Parts? Divide the parallelogram into two parts of equal area.

**Topperlearning User**17th August 2017, 12:21 PM

### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

## Show that line segment joining the mid points of a pair of opposite sides of a parallelogram, divides it into two equal parallelograms.

**Topperlearning User**17th August 2017, 12:18 PM

### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

## ABCD is a quadrilateral and BD is one of its diagonals as shown in the figure. DC= 5 cm, Altitude=10 cm. Show that ABCD is a parallelogram. Find its area.

**Topperlearning User**17th August 2017, 12:18 PM

### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

## Prove that the area of a parallelogram is the product of any base of it and the corresponding altitude.

**Topperlearning User**17th August 2017, 12:14 PM

### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

## P and Q are mid-points of sides AB and AC respectively. Of triangle ABC. R is mid-point of AP, prove that:
1 ) ar(PRQ)=1/2ar(ARC)
2 ) ar(RQC)=3/8ar(ABC)
3 ) ar(PBQ)=ar(ARC)

**Aniket**9th March 2016, 10:12 AM

### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

## <div>In a trapezium ABCD, <img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=281458639036b60a669b1781a84bba2b.png" alt="A B parallel to space C D space a n d space angle D equals 2 angle B. space I f space D C space equals space p space a n d space A D space equals space q comma space t h e n space f i n d space t h e space l e n g t h space o f space A B." align="middle" /></div>

**a.behera67**4th January 2016, 9:10 PM

### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

## ABCD is a trapezium with parallel sides AB=a cm and DC=b cm. E and F are the midpts of the non parallel sides. The ratio of ar(ABFE) and ar(EFCD) is

**archita123**14th March 2015, 3:01 PM

### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

## PQRS is a parallelogram whose area is 180 and P is any point on diagonal QS . The area of triangle ASR = 90cm square . Show whether this statement is true or false ?

**mathuneerajrox**19th February 2015, 3:00 PM

### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

**qus 1** - ABCD is trapezium with parallel sides AB = a and DC = b. if E and F are mid points of non parallel sides AD and BC respectively, then find the ratio of areas of quadrilaterals ABFE and EFCD.
**qus2 **- ABCD is a rectangle with O as any point in its interior. if ar ( triangle AOD) = 3sq. cm and ar ( triangle BOC) = 6sq. cm, then find the area of rectangle ABCD.

**qus 1**- ABCD is trapezium with parallel sides AB = a and DC = b. if E and F are mid points of non parallel sides AD and BC respectively, then find the ratio of areas of quadrilaterals ABFE and EFCD.

**qus2**- ABCD is a rectangle with O as any point in its interior. if ar ( triangle AOD) = 3sq. cm and ar ( triangle BOC) = 6sq. cm, then find the area of rectangle ABCD.

**Varsha**24th January 2015, 8:17 PM

### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

## P is any point on base BC of triangle ABC and D is the mid point of BC. DE is drawn parallel to PA to meet AC at AC at E. if ar (triangle ABC)=12sq. cm , the find area of triangle EPC.

**Varsha**24th January 2015, 8:11 PM