The areas of the figures are 4(x + 1), 7(d + 4) and y(y + 3)
<h3>How to determine the total areas?</h3>
<u>The figure 1</u>
In this figure, we have
Length = x + 1
Width = 4
The area is calculated as:
Area = Length * Width
So, we have
Area = 4(x + 1)
<u>The figure 2</u>
In this figure, we have
Length = d + 4
Width = 7
The area is calculated as:
Area = Length * Width
So, we have
Area = 7(d + 4)
<u>The figure 3</u>
In this figure, we have
Length = y + 3
Width = y
The area is calculated as:
Area = Length * Width
So, we have
Area = y(y + 3)
Hence, the areas of the figures are 4(x + 1), 7(d + 4) and y(y + 3)
Read more about areas at:
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Answer:

Step-by-step explanation:
we know that
The lateral area of the figure is given by

where
P is the perimeter of the base (larger faces)
h is the height
Find the perimeter of the base P

we have

substitute in the formula of lateral area

To find this, just plug the numbers into the expressions.
5x = y
5(2) = 7
10 = 7
So it can't be A.
x + 2 = y
2 + 2 = 7
4 = 7
x + 4 = y
2 + 4 = 7
6 = 7
2x + 3 = y
2(2) + 3 = 7
7 = 7
The correct answer is
D. 2x + 3