Question

50 POINTS HELP ME PLEASE ASAP!!!!!!

Layla is determining the area of the trapezoid. Her work is shown below.

A trapezoid has a base of 14 feet, height of 10 feet, and top side length of 8 feet.

Step 1: Break the figure into rectangles and triangles.

A trapezoid is broken into a triangle and rectangle. The rectangle has a base of 10 feet and a height of 8 feet. The triangle has a base of 10 feet and a height of 6 feet.

Step 2: Find the area of the rectangle: 8 times 10 = 80.

Step 3: Find the area of the triangle: One-half times 6 times 8 = 24.

Step 4: Add the areas together: 80 + 24 = 104 square feet.

Which best describes Layla’s error?
The height of the triangle in Step 1 should be 4 ft.
The area of the triangle in Step 3 should be One-half times 6 times 10 = 30.
The area of the triangle is Step 3 should be halved because there is only one triangle.
The areas in Step 4 should be multiplied instead of added.

Answer 1

the second option is correct

Explanation:

Answer 2

The area of the triangle in Step 3 should be One-half times 6 times 10 = 30.

Explanation:

Lyla made a mistake in Step 3, because she used the wrong dimensions to find the area.

Notice that the base of the triangle is 10 feet, the same as the retangle's. And its height is 6 feet.

So, the area of the triangle would be

`A=(1)/(2) (6 * 10) = 30`

And the total area of the composite figure is

`A_(total)=80+30=110`

Therefore, the right answer is the second choice.