Question

Find the area of the trapezoid. Pls explain and I will mark brainliest.

Answer 1

Answer:

• B. 191.4 m²

Step-by-step explanation:

Split the trapezoid as pictured below

Find its height and the upper base, then find the area of the trapezoid.

There are 3 pieces, two of them are 45°×45° and 30°×60°×90° triangles

• The ratio of sides of a 30°×60°×90° triangle is  1 : √3 : 2
• The legs of a 45x45 triangle are equal

The above mentioned properties give us:

• h = 16/2 = 8 m
• b = 8√3 ≈ 13.85 m
• a = h = 8 m

Now find the area:

• A = 1/2( 13 + 8 + 13.85 + 13)*8 = 191.4 m²

Correct choice is B