Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

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Find the area of a parallelogram of which a diagonal measures $65 cm$ and of which two adjacent sides measure $70 cm$ and $75 cm$ respectively

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Important Questions on Area of Parallelogram and Triangles

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Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

A rectangular park

60 m

long and

40 m

wide has two pathways of equal width running in the longitudinal and transverse direction and crossing each other at right angles in the middle of the park. The rest of the park is used as lawn. If the area of the lawn is

2109 sq . m

, then what is the width of the pathway?

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Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

The length of each equal side of an isosceles triangle is

10 c m

and the included angle between those two sides is

45 ° .

Find the area of the triangle.

HARD

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

What will be the area of triangle whose vertices are

(1, 2), (- 4, - 3)

and

(4, 1)

?

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Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

The respective ratio between the length and breadth of a rectangle is

8 : 5

and its perimeter is

208 cm

. If the side of the square is

40 %

less than the breadth of the rectangle, what is the perimeter of the square?

EASY

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

If the sides of triangle are

4, 5

and

6 cm

.

Then the area (in sq cm) of triangle is

HARD

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

The length of rectangle is $80 %$ of diagonal of square of area $1225 m^{2}$ , then find area of rectangle, if it's perimeter is $94 \sqrt{2} m$ .

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Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

The three sides of a triangle are $15 c m, 36 c m, a n d 39 c m$ long. A small triangle is formed by joining the mid points of the three sides of this triangle. The area of small triangle will be_____ $c m^{2}$

EASY

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

The length of the diagonals of a rhombus are

16 cm

and

12 cm

. Its area is:

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Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

Consider four triangles having sides

(5, 12, 9), (5, 12, 11), (5, 12, 13)

and

(5, 12, 15)

. Among these the triangle having maximum area has sides

EASY

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

A triangular corner is cut from a rectangular piece of paper and the resulting pentagon has sides

5, 6, 8, 9, 12

in some order. The ratio of the area of the pentagon to the area of the rectangle is-

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Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

In $△ A B C, A D$ is the median and $G$ is a point on $A D$ such that $A G : G D = 2 : 1$ . Then area $(△ B D G) :$ area $(△ A B C)$ is equal to:

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Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

The area of a parallelogram is

338 m^{2}

. If its altitude is twice the corresponding base, its base is:

EASY

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

If the perimeter of a square plot is the same as that of rectangular plot with side

35 m

and

15 m

. The side of square plot is:

EASY

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

What is the area (in

c m^{2}

) of an equilateral triangle whose side is

12 c m

?

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Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

The diagonal of a square

A

is

(a + b)

units. What is the area (in square units) of the square drawn on the diagonal of square

B

whose area is twice the area of

A

?

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Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

Triangle PDC is drawn inside the square ABCD of side

24 cm

where P lies on AB. What is the area of the triangle?

EASY

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

The length of each equal side of an isosceles triangle is

15 cm

and the included angle between those two sides is

90 °

, Find the area of the triangle.

EASY

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

Question Image

What is the area of this trapezoidal garden (All measurements are in cm)?

1. $60$ sq.cm
2. $180$ sq.cm
3. $210$ sq.cm
4. $240$ sq.cm

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Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

Question Image

$A B C D$ is a parallelogram where $A B = 8 cm, A D = 4 cm$ and $∠ B = 120 °$ . What is the area of $A B C D$ ?

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Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

Among all the parallelograms whose diagonals are

10

and

4

, the one having maximum area has its perimeter lying in the interval