i need help figuring out how to find the area of this trapezoid. two sides have 8cm, another one has 10cm, and the last one has 16cm. Also, there is a dashed line inside of the trapezoid that is 7cm.
A. 8 cm squared
B. 62 cm squared
C. 84 cm squared **
D. 125 cm squared
To find the area of a trapezoid, you can use the formula: area = (1/2) * (sum of the lengths of the parallel sides) * (height).
In this case, the two parallel sides of the trapezoid are 8 cm and 16 cm, and the height is given as 7 cm.
Let's substitute these values into the formula:
Area = (1/2) * (8 cm + 16 cm) * 7 cm
= (1/2) * 24 cm * 7 cm
= 12 cm * 7 cm
= 84 cm squared
Therefore, the correct answer is C) 84 cm squared.
To find the area of a trapezoid, you can use the formula:
Area = 1/2 * (sum of the lengths of the two parallel sides) * (distance between the two parallel sides)
In this case, the two parallel sides are 8 cm and 16 cm, and the distance between them is 7 cm.
Plugging the values into the formula, we get:
Area = 1/2 * (8 cm + 16 cm) * 7 cm
Simplifying this, we have:
Area = 1/2 * 24 cm * 7 cm
Area = 12 cm * 7 cm
Area = 84 cm^2
Therefore, the correct answer is C. 84 cm squared.