Area of a Parallelogram
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A farmer wants to build a rectangular pen with feet of fencing. The pen will be built against the wall of the barn, so one side of the rectangle wont need a fence. What dimensions will maximize the area of the pen
The area of the figure formed by joining the mid points of the adjacent sides of a thombus with diagonals 16 cm and 12 cm is
28cm2
48cm2
96cm2
24cm2
In rhe figure, ABCD and FECG are parallelograms equal in area. IF ar(△AQE)=12 cm2, then ar(||gmFGBQ) =
12cm2
20cm2
24cm2
36cm2
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/26937/content_23.png)
- 12 square units
- 73 square units
- 94 square units
- 21 square units
In the given figure, ABCD is parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.
In a parallelogram ABCD, it is being given that AB=10 cm and the altitudes corresponding to the sides AB and AD are DL=6 cm and BM=8 cm, respectively.Find AD.
This question consists of two statements, namely, Assertion (A) and Reason (R).For selecting the correct answer, use the following code:
(a) Both Assertion (A) and Reason (R) are true and Reason (R) correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).
The correct answer is :(a) /(b) /(c) /(d)
In the figure , ABCD is a parallelogram. If AB = 12 cm, AE = 7.5 cm, CF = 15 cm, then AD =
3 cm
6 cm
8 cm
10.5 cm
ABCD is a parallelogram, G is the point on AB such that AG = 2 GB, E is a point of DC such that CE = 2 DE and F is the point of BC such that BF = 2 FC. Prove that:
(i)ar(ADEG)=ar(GBCE)(ii)ar(△EGB)−16ar(ABCD)(iii)ar(△EFC)=12ar(△EBF)(iv)ar(△EGB)=32ar(△EFC)
(v) Find what portion of the ara of parallelogram is the area of △EFG.
ABCD is a parallelogram. P is the mid point of AB. BD and CP intersect at Q such that CQ:QP=3:1.Ifar(△PBQ)=10cm2
Find the ara of parallelogram ABCD.
If the midpoints of the sides of a quadrilateral are joined in order, prove that the area of the parallelogram, so formed will be half of the area of the given quadrilateral (figure).
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/22659/content_1.png)
In th figure, ABCD, ABFE and CDEF are parallelograms. Prove that ar(△ADE)=ar(△BCF)
A, B, C, D are mid points of sides of parallelogram PQRS. IF ar(PQRS)=36cm2, then ar (ABCD) =
24cm2
18cm2
30cm2
36cm2
In the figure ABCD is a rectangle in which CD=6 cm, AD=8 cm.
Find the area of parallelogram CDEF.
In the figure, the area of parallelogram ABCD is:
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/398865/original_138835.png)
A) AB × BM
B) BC × BN
C) DC × DL
D) AD × DL
In parallelogram ABCD, AB = 16 cm. The altitudes corresponding to sides AB and AD are respectively 8 cm and 10 cm. Then AD is equal to
12.5 cm
12.8 cm
15 cm
18 cm
- 7.25 cm
- 8.75 cm
- 10.25 cm
- 12 cm
The shape after joining the midpoints of sides of a rhombus will form :
Rectangle
Rhombus
Circle
Square
IF P is any point in the interior of a parallelogram ABCD, then prove that area of the triangle APB is less than half the area of parallelogram.
In the given figure, ABCD is parallelogram, AE⊥DC and CF⊥AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/10985/content_5.jpg)
In the given figure, ABCD is a ||gm in which AB=CD=5 cm and BD⊥DC such that BD=6.8 cm.Then, the area of ABCD=?
(a) 17 cm2
(b) 25 cm2
(c) 34 cm2
(d) 68 cm2
In the given figure, ABCD is a ||gm in which diagonals AC and BD intersect at O.If ar(||gm ABCD) is 52 cm2 then the ar(△ AOB)=?
(a) 26 cm2
(b) 18.5 cm2
(c) 39 cm2
(d) 13 cm2
In Q. No. 1, if AD = 6 cm, CF = 10 cm, AE = 8 cm , find AB.
The figure consists of 3 semicircles and an equilateral triangle of side 7 cm. Find the area of the entire figure.
253.25 cm2
252.19 cm2
134.75 cm2
78.94 cm2
Reason: A sentence that can be judged to be true or false, but not both, is called a statement.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.
- 6 cm
- 15 cm
- 14 cm
- 7.5 cm
The adjacent sides of a parallelogram ABCD measures 34 cm and 20 cm, and the diagonal AC measures 42 cm. Find the area of the parallelogram.
A parallelogram and a square have the same area. If the sides of the square measure 40 m and altitutde of the parallelogram measures 25 m, find the length of the corresponding base of the parallelogram.
Reason: Diameter is the largest chord in a circle.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.
Reason: The angle bisectors of a parallelogram form a rectangle.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.