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

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**

**7th Grade mathematics Problems** **8th Grade math Practice** **From Area of parallelogram to home PAGE**

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