Created By : Abhinandan Kumar

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 01, 2023


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Diagonal (e)
Diagonal (f)
Angle α


Area of a Parallelogram Diagonal (e) 27 in and Diagonal (f) 54 ft With Angle 45 Degrees is 12371.5402436 in2 or 85.9134739 ft2.

Area of a Parallelogram Diagonal (e) 27 in and Diagonal (f) 54 ft With Angle 45 Degrees is 12371.5402436 in2 or 85.9134739 ft2.


  Area of a Parallelogram Diagonal (e) 27 in and Diagonal (f) 54 ft With Angle 45 Degrees in other units

Value unit
0.3142371 km²
0.1952584 mi²
314.2371222
1030.961687 ft²
12371.5402436 in²
343.6538957 yd²
31423.7122187 cm²
314237.1221874 mm²

Steps:

Given that Parallelogram diagonal (e) = 27 in and diagonal (f) = 54 ft with angle = 45 degrees

We know that, Area = e * f * sin(α)

      Unit Conversion of Width 54 ft = 648.0 in

54 Foot is 648.0 inches

To convert Foot to Inches

we know that, 1 Foot = 12 inches

To convert Foot to inches, multiply the foot value by 12.

Result in Foot: 54 ft × 12 × in/ft

Cancel The Comman factor of ft

Result in Inches: (54 x 12 in)

Multiply 54 into 12

Result in Inches: 648.0 inches

∴ 54 Foot = 648.0 inches

Put the values e, f values in above Area Formula

A = 27 * 648.0 * sin(450)

Simplify the above equations

A = 12371.5402436 in²

∴ Area of a Parallelogram diagonal (e) 27 in and diagonal (f) 54 ft is 12371.5402436 in²

or

      Unit Conversion of Length 27 in = 2.25 ft

27 Inches is 2.25 feet

To convert Inches to Feet

we know that, 1 Inches = 0.0833333 Feet or
                         1 Foot = 1/12 foot

To convert Inches to Feet, divide the inche value by 12.

Result in Foot: 27 × in/12 × ft/in

Cancel The Comman factor of in

Result in Feet: $27\above 1pt12$

Divide the 27 by 12

Result in Feet: 2.25 feet

∴ 27 Inches = 2.25 feet

Put the values a, b and angle values in above Area Formula

A = 2.25 * 54 * sin(450)

Simplify the above Equations

A = 85.9134739 ft²

∴ Area of a Parallelogram diagonal (e) 27 in and diagonal (f) 54 ft with angle 45 degrees is 85.9134739 ft²

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