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) 4 cm With Angle 40 Degrees is 0.1405921 yd2 or 1175.5299806 cm2.

Area of a Parallelogram Diagonal (e) 5 yd and Diagonal (f) 4 cm With Angle 40 Degrees is 0.1405921 yd2 or 1175.5299806 cm2.


  Area of a Parallelogram Diagonal (e) 5 yd and Diagonal (f) 4 cm With Angle 40 Degrees in other units

Value unit
0.0001286 km²
7.988x 10-05 mi²
0.1285574
0.4217763 ft²
5.0613156 in²
0.1405921 yd²
12.8557416 cm²
128.5574162 mm²

Steps:

Given that Parallelogram diagonal (e) = 5 yd and diagonal (f) = 4 cm with angle = 40 degrees

We know that, Area = e * f * sin(α)

      Unit Conversion of Width 4 cm = 0.0437445 yd

4 Centimeter is 0.0437445 yards

To convert Centimeter to Yards

we know that, 1 Centimeter = 0.0109361 Yards or
                         1 Centimeter = 1/91.44 Yard

To convert Centimeter to Yards, divide the yards value by 91.44

Result in Yards: 4 × cm/91.44 × yd/cm

Cancel The Comman factor of cm

Result in Yards: 4/91.44 yd

Divide 4 by 91.44

Result in Yards: 0.0437445 yards

∴ 4 Centimeter = 0.0437445 yards

Put the values e, f values in above Area Formula

A = 5 * 0.0437445 * sin(400)

Simplify the above equations

A = 0.1405921 yd²

∴ Area of a Parallelogram diagonal (e) 5 yd and diagonal (f) 4 cm is 0.1405921 yd²

or

      Unit Conversion of Length 5 yd = 457.2 cm

5 Yards is 457.2 Centimeters

To convert Yard to Centimeters

we know that, 1 Yard = 91.44 Centimeters

To convert Yards to Centimeters, multiply the yard value by 91.44

Result in Centimeters: 5 yd x 91.44 × cm/yd

Cancel The Comman factor of yd

Result in Centimeters: (5 x 91.44 cm)

Multiply 5 into 91.44

Result in Centimeters: 457.2 Centimeters

∴ 5 Yards = 457.2 Centimeters

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

A = 457.2 * 4 * sin(400)

Simplify the above Equations

A = 1175.5299806 cm²

∴ Area of a Parallelogram diagonal (e) 5 yd and diagonal (f) 4 cm with angle 40 degrees is 1175.5299806 cm²

Area of Parallelogram Calculations

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