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47.5 ft^2

Step-by-step explanation: First find the area of the rectangle using the formula length*height. This is 10*4 or 40.

Then find the area of the bottom triangle using the formula (base*height)/2. This will be (3*3)/2, which simplifies to 9/2, which is 4.5.

Then find the area of the top triangle using the same formula, which will be (2*3)/2, which simplifies to 6/2, which is 3.

Add all of these together. 40+3+4.5=47.5.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6