The formula of the area of a triangle:

b - the bash - the height
We have:
b - the base3b - the height486 - the area
Substitute:
Answer: The length of the height is equal 54 units.
The largest possible complete design that can be painted on a 24’ x 16’ wall is 252' by 189'
<h3>
Scale drawing</h3>
Scale drawing involves drawing a drawing in a different size and dimension that is proportional to the original dimension
<h3>Dimensions</h3>
The dimensions of the design for the farm scene painting is given as:

The dimensions of the wall is given as:

Convert feet to inches


Divide the dimensions of the wall by the painting to get the scale ratios (k)


Also, we have:


Remove decimal (do not approximate)

By comparison;
21 is less than 24
Multiply 21 by the dimensions of the painting
So, we have:


Hence, the largest possible complete design that can be painted on a 24’ x 16’ wall is 252' by 189'
Read more about scale drawings at:
brainly.com/question/810373
Answer:
10 feet, option D
Step-by-step explanation:
Got it right on my test.
Answer:
figure 1 - 10.5 unit^2
figure 2 - 12 unit^2
Step-by-step explanation:
<u>figure 1</u>
1. find the area of the rectangle
<em>3*2 = 6 unit^2</em>
2. find the area of the triangle
<em>(3*3)/2 = 4.5 unit^2</em>
3. add the area of the rectangle and the area of the triangle together. The sum would be the area of the trapezoid.
<em>6 + 4.5 = </em><u><em>10.5 unit^2</em></u>
<u>figure 2</u>
1. find the area of the rectangle
<em>2*4 = 8 unit^2</em>
2. find the area of both triangles
<em>(1*4)/2 = 2 unit^2</em>
3. add the area of the rectangle and the area of both triangles together. The sum would be the area of the trapezoid.
<em>8 + 2 + 2 = </em><u><em>12 unit^2</em></u>