Question

please help me out!!!
A trapezoid with short base fourteen centimeters, long base thirty-eight centimeters, height sixteen centimeters, and diagonal side lengths twenty centimeters.
320 square centimeters
608 square centimeters
416 square centimeters
560 square centimeters

Answer 1

Answer:

416 square centimeters

Step-by-step explanation:

Formula for finding area of a trapezoid :

A = 1/2 x (a + b) x h

1. a and b = parallel sides of the trapezoid
2. h = height of the trapezoid

Solving :

• A = 1/2 x (38 + 14) x 16
• A = 8 x 52
• A = 416 square centimeters

Answer 2

Answer:

416 cm²

Step-by-step explanation:

The figure we are given, is a trapezoid. Let's apply the "area of trapezoid" formula to determine the area of the trapezoid provided.

$\boxed{\text{Area of trapezoid:} \ \dfrac{a_1 + a_2}{2} h}$

[Where a₁ and a₂ are the measure of the parallel sides and h is the height]

Let's plug the height and the parallel sides into the formula and simplify it:

$\text{Area of trapezoid} = \dfrac{38 + 14}{2} \times 16}$

$\text{Area of trapezoid} = \dfrac{52}{2} \times 16}$

$\text{Area of trapezoid} = 26 \times 16}$

$\boxed{\text{Area of trapezoid} = 416 \ \text{cm}^{2}}$

Therefore, the area of the trapezoid is 416 cm².

Learn more about area of trapezoids: https://brainly.com/question/26695399