From the problem, we have an algebraic expression :

Which is the product of 1/4 and a number, plus 7.
ANSWER :
a. the product of one-fourth and a number plus seven
The original area of the rectangle is 
<u>Explanation:</u>
width = x
length = x + 2
area of the rectangle = x (x+2)
length = x + 2 + 5 = x+7

Solving this equation, we get
x =5ft
So, original width = 5ft
original length = 5+2ft = 7ft
Thus, original area of the rectangle = 5 X 7ft = 
Therefore, the original area of the rectangle is 
Answer: Carlos is right
Step-by-step explanation:
why because in dilation, the image and the original are similar, in that they are the same shape but not necessarily the same size. They are not congruent because that requires them to be the same shape and the same size, which they are not (unless the scale factor happens to be 1.0).
Diya is wrong because the picture is the not the same size && the image is going to stay the same
Answer:
Step-by-step explanation:
these triangles are not similar, you can tell, b/c the one given angle and that they are both right triangles, so you also know that the other angle , that is not given is not the same, in the two. hence the sides are not the same lengths or ratios of each other. they are NA