i need to find the area of the trapezoid 8cm,7cm,3cm,45degrees
We need to know how these sides are located in your trapezoid,
Label your figure ABCD then state the length of the sides, and where angle 45° is.
22.5
To find the area of a trapezoid, you will need the lengths of its two parallel sides and the height. However, you've provided the lengths of three sides and an angle. In order to proceed, we need to determine which sides are parallel, as this will affect the calculation.
To determine the parallel sides of a trapezoid, you can look at the given angle. In this case, the given angle is 45 degrees. If we assume this angle is between the longer side and one of the shorter sides, it means the longer side and the other shorter side are parallel.
So, the lengths of the parallel sides in this trapezoid are 8 cm and 3 cm, and the height is 7 cm. Now, we can calculate the area using the formula:
Area = (sum of parallel sides / 2) × height
Substituting the values, we have:
Area = ((8 cm + 3 cm) / 2) × 7 cm
= (11 cm / 2) × 7 cm
= 5.5 cm × 7 cm
= 38.5 cm²
Therefore, the area of the trapezoid is 38.5 square centimeters.