Question

The lengths of two consecutive sides of the

parallelogram shown are 10 inches and 15
inches. The two sides include an angle of 60°.
To the nearest tenth of a square inch,
what is the area of the parallelogram?

Answer 1

To find the area of the parallelogram, use the formula: Area = base x height. Calculate the height using the sine of the given angle. Plug the values into the formula to find the area.

Step-by-step explanation:

To find the area of the parallelogram, we need to use the formula:

Area = base x height

The base of the parallelogram is one of the given sides, which measures 10 inches.

The height can be found by using the sine of the given angle, which is 60°. Therefore, the height is 10 inches x sin(60°).

Calculating sin(60°) gives us √3/2 ≈ 0.866. So, the height is approximately 10 inches x 0.866 ≈ 8.66 inches.

Now, we can plug these values into the formula:

Area = 10 inches x 8.66 inches ≈ 86.6 square inches