The area of the trapezoid is 118 squre units
<h3>Area of a trapezoid</h3>
The formula for calculating the area of a trapezoid is expressed as:
- A = 0.5(a+b)h
- a = AD = √20
- b = BC = √80
- height = h = √40
Substitute into the formula
A = 0.5(√1600)*√40
A = 0.5 * 40 * √40
A = 20√40
A = 118 squre units
Hence the area of the trapezoid is 118 squre units
Larn more on area of a trapezoid here: brainly.com/question/1463152
Answer:
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When the question says that triangle ABC ~ triangle DEF, that means the triangles are similar. This means that their proportions are the same.
In triangle ABC, side length AB is the equivalent of side length DE in triangle DEF.
Since the proportions must be the same, we can take the known side from triangle ABC, find the equivalent of it on triangle DEF, and find the proportions.
We already found that side length AB ~ side length DE.
Now we can divide the lengths to find the proportions.
28 / 8 = 3.5
This means that each side on triangle ABC will be 3.5 times greater than the equivalent side on triangle DEF.
The length of AC in triangle ABC is 3.5 times the length of DF in triangle DEF.
Side length DF is 10.
Multiply 3.5 by 10 to get the length of AC.
3.5 • 10 = 35
So the length of AC is 35 units.
Answer:
Side length AC in triangle ABC is 35 units.
Hope this helps!
To solve for how much it would cost, we have to solve for the volume of the slab first, then multiply it by the given price of concrete.
Solving for the volume of the slab:
Since the given price is in cubic yard, it is easier to convert the given measurements from feet to yards first. Using the relation: 1 ft = 0.333 yd:
17 ft = 5.67 yards
2 ft = 0.67 yards
17ft x 17ft x 2ft = 5.67 yd x 5.67 yd x 0.67 yd = 21.54 yd^3
Multiplying this by $40.00 / yd^3:
21.54 x 40 = 861.59
Therefore, it will cost $861.59 to pour the slab.