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) 5 yd and Diagonal (f) 5 ft With Angle 75 Degrees is 8.049382 yd2 or 72.444437 ft2.

Area of a Parallelogram Diagonal (e) 5 yd and Diagonal (f) 5 ft With Angle 75 Degrees is 8.049382 yd2 or 72.444437 ft2.


  Area of a Parallelogram Diagonal (e) 5 yd and Diagonal (f) 5 ft With Angle 75 Degrees in other units

Value unit
0.0073604 km²
0.0045735 mi²
7.3603549
24.148146 ft²
289.777752 in²
8.049382 yd²
736.0354901 cm²
7360.3549008 mm²

Steps:

Given that Parallelogram diagonal (e) = 5 yd and diagonal (f) = 5 ft with angle = 75 degrees

We know that, Area = e * f * sin(α)

      Unit Conversion of Width 5 ft = 1.6666667 yd

5 Feet is 1.6666667 yards

To convert Feet to Yards

we know that, 1 Foot = 0.333333 or
                        1 Foot = 1/3 Yards

To convert Feet to Yards, divide the feet value by 3

Result in Yards: 5 × ft/yd × ft/yd

Cancel The Comman factor of ft

Result in Yards: 5/3 yd

Divide the 5 by 3

Result in Yards: 1.6666667 yards

∴ 5 Feet = 1.6666667 yards

Put the values e, f values in above Area Formula

A = 5 * 1.6666667 * sin(750)

Simplify the above equations

A = 8.049382 yd²

∴ Area of a Parallelogram diagonal (e) 5 yd and diagonal (f) 5 ft is 8.049382 yd²

or

      Unit Conversion of Length 5 yd = 15.0 ft

5 Yards is 15.0 foots

To convert Yards to Foot

we know that, 1 Yards = 3 Feet

To convert Yards to Foot, multiply the yard value by 3.

Result in Feet: 5 yd x 3 × ft/yd

Cancel The Comman factor of yd

Result in Feet: (5 x 3 ft)

Multiply 5 into 3

Result in Feet: 15.0 feets

∴ 5 Yards = 15.0 foots

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

A = 15.0 * 5 * sin(750)

Simplify the above Equations

A = 72.444437 ft²

∴ Area of a Parallelogram diagonal (e) 5 yd and diagonal (f) 5 ft with angle 75 degrees is 72.444437 ft²

Area of Parallelogram Calculations

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