The perimeter of rectangle WXYZ is 34 inches. A scale factor of 1.75 is used to dilate rectangle WXYZ to rectangle ABCD. What is the perimeter of rectangle ABCD?

59.5 units

Step-by-step explanation:

A rectangle is a quadrilateral (has four side) in which opposite sides are parallel and the diagonals bisect each other. The perimeter of a rectangle is:

Perimeter = 2(length + breadth) = 2(l + b)

The  perimeter of rectangle WXYZ is 34 inches. Therefore:

34 = 2(l + b)

l + b = 17

Rectangle ABCD is formed by dilating rectangle WXYZ by a scale factor of 1.75. Let l' = length of ABCD and b' = breadth of ABCD hence:

Length of ABCD = l' = 1.75l

Breadth of ABCD = b' = 1.75b

Perimeter of ABCD = 2(l' + b') = 2(1.75l + 1.75b) = 2(1.75)(l + b) = 3.5(l + b)

Perimeter of ABCD = 3.5(17) = 59.5 units

The symbol < means ‘less than’ and > means ‘greater than’. But your symbol has an extra line underneath, almost like an equals sign (=). It means ‘less than or equal to’.
I can’t type your symbol, but will use =< instead.
So: 2=We are told x is an integer (whole number) so the possible solutions are the consecutive numbers from 2 to 8.
That is: x = 2, 3, 4, 5, 6, 7 or 8.