Here we will certainly discuss around how to uncover the area that a parallelogram. To calculate area of parallel we must remember the formula and also solve step-by-step.

You are watching: The area of a parallelogram is 240 cm2 Area of parallelogram    = 2 × Area the ∆ABC                                    = 2 × 1/2 × base × height sq. Units

= 2 × 1/2 × abdominal × CE sq. Units

= b × h sq. Units

= base × height sq. Units

Perimeter of parallel = 2(AB + BC)                                        = 2 × (Sum of surrounding sides)

Worked-out instances on area the parallelograms:1. The basic of the parallelogram is thrice that height. If the area is 192 cm², uncover the base and also height. Solution: permit the height of the parallel = x cm

then the basic of the parallel = 3x cm

Area the the parallelogram = 192 cm²Area of parallel = base × elevation

192 = 3x × x

⇒ 3x² = 192

⇒ x² = 64

⇒ x = 8

Therefore, 3x = 3 × 8 = 24

Therefore, base of the parallel is 24 cm and height is 8 cm.

2. A parallelogram has actually sides 12 cm and also 9 cm. If the distance in between its shorter sides is 8 cm, find the distance in between its much longer side. Solution: Adjacent sides of parallel = 2 cm and 9 centimeter

Distance between much shorter sides = 8 cm

Area of parallelogram = b × h

= 9 × 8 cm²

= 72 cm² Again, area of parallelogram = b × h

⇒ 72 = 12 × h

⇒ h = 72/12

⇒ h = 6 cm

Therefore, the distance between its longer side = 6 cm.

3. ABCD is a parallelogram in which abdominal muscle = 20 cm, BC = 13 cm, AC = 21 cm. Discover the area of parallelogram ABCD. Solution: Area of parallelogram ABCD = 2 area the ∆ABC

In ∆ ABC,

AB = 20 centimeter BC = 13 centimeter AC = 21 centimeter

So, s = (20 + 15 + 21)/2

= 54/2

= 27Therefore, area of ∆ABC = √(27 (27 - 20) (27 - 13) (27 - 21))

= √(27 × 7 × 14 × 6)

= √(3 × 3 × 3 × 7 × 2 × 7 × 2 × 3)

= 2 × 3 × 3 × 7

= 126 cm² Area of parallelogram ABCD = 2 area that ∆ABC

= 2 × 126 cm²

= 252 cm²

The detailed explanations on the formula that perimeter and also area that parallelogram are explained above with the step-by-step solution.

● Mensuration

Area and Perimeter

Perimeter and Area of Rectangle

Perimeter and Area that Square

Area the the Path

Area and also Perimeter the the Triangle

Area and also Perimeter that the Parallelogram

Area and Perimeter that Rhombus

Area of Trapezium

Circumference and Area the Circle

Units of Area Conversion

Practice test on Area and Perimeter of Rectangle

Practice check on Area and also Perimeter that Square

● Mensuration - Worksheets

Worksheet on Area and also Perimeter that Rectangles

Worksheet on Area and also Perimeter of Squares

Worksheet ~ above Area that the Path

Worksheet top top Circumference and Area of Circle

Worksheet ~ above Area and also Perimeter that Triangle