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What happens to the area of a parallelogram, if the base is doubled and the height is halved?

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Important Questions on Area and Perimeter

HARD

Mathematics>Geometry>Area and Perimeter>Area of a Parallelogram

What will be the area of triangle whose vertices are

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

and

(4, 1)

EASY

Mathematics>Geometry>Area and Perimeter>Area of a Parallelogram

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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

MEDIUM

Mathematics>Geometry>Area and Perimeter>Area of a Parallelogram

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_____ $c m^{2}$

HARD

Mathematics>Geometry>Area and Perimeter>Area of a Parallelogram

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 $94 \sqrt{2} m$ .

MEDIUM

Mathematics>Geometry>Area and Perimeter>Area of a Parallelogram

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

EASY

Mathematics>Geometry>Area and Perimeter>Area of a Parallelogram

What is the area (in

c m^{2}

) of an equilateral triangle whose side is

12 c m

MEDIUM

Mathematics>Geometry>Area and Perimeter>Area of a Parallelogram

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.

MEDIUM

Mathematics>Geometry>Area and Perimeter>Area of a Parallelogram

The diagonal of a square

A

(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

EASY

Mathematics>Geometry>Area and Perimeter>Area of a Parallelogram

If the sides of triangle are

4, 5

and

6 cm

.

Then the area (in sq cm) of triangle is

MEDIUM

Mathematics>Geometry>Area and Perimeter>Area of a Parallelogram

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

MEDIUM

Mathematics>Geometry>Area and Perimeter>Area of a Parallelogram

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?

MEDIUM

Mathematics>Geometry>Area and Perimeter>Area of a Parallelogram

Among all the parallelograms whose diagonals are

10

and

4

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

MEDIUM

Mathematics>Geometry>Area and Perimeter>Area of a Parallelogram

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:

MEDIUM

Mathematics>Geometry>Area and Perimeter>Area of a Parallelogram

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