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• CBSE×
• Class 9×
• Mathematics×
• Areas Of Parallelograms And Triangles×
• Concept Of Area Of Region×

# Concept Of Area Of Region Free Doubts and Solutions

## 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)

Asked by Topperlearning User 17th August 2017, 12:27 PM

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

Asked by Topperlearning User 17th August 2017, 12:26 PM

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

Asked by Topperlearning User 17th August 2017, 12:25 PM

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

Asked by Topperlearning User 17th August 2017, 12:24 PM

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

Asked by Topperlearning User 17th August 2017, 12:23 PM

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## 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.

Asked by Topperlearning User 17th August 2017, 12:22 PM

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## 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.

Asked by Topperlearning User 17th August 2017, 12:21 PM

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

Asked by Topperlearning User 17th August 2017, 12:18 PM

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## 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.

Asked by Topperlearning User 17th August 2017, 12:18 PM

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

Asked by Topperlearning User 17th August 2017, 12:14 PM

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## 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)

Asked by Aniket 9th March 2016, 10:12 AM

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## <div>In a trapezium ABCD,&nbsp;<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>

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

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## 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

Asked by archita123 14th March 2015, 3:01 PM

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## 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 ?

Asked by mathuneerajrox 19th February 2015, 3:00 PM

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## 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.

Asked by Varsha 24th January 2015, 8:17 PM

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## 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.

Asked by Varsha 24th January 2015, 8:11 PM