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olasank [31]
2 years ago
11

Please help me out!!!

Mathematics
2 answers:
rodikova [14]2 years ago
8 0

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: brainly.com/question/26695399

professor190 [17]2 years ago
3 0

Answer:

<u>416 square centimeters</u>

Step-by-step explanation:

Formula for finding area of a trapezoid :

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

  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 = <u>416 square centimeters</u>
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