How can you be sure the lines you constructed are parallel?

think of it as the 2 ells right beside each other in parallel

Step-by-step explanation:

a rectangle has 2 sets of parallel lines also a square

a triangle and a circle do not have parallel lines

21 ft by 66 ft

Step-by-step explanation:

From the question,

P = 2(L+W) Equation 1

Where P = Perimeter of the playing Field, L = Length of the playing Field, W = width of the playing Field.

If the Length of the Field is 45 ft longer than the width,

L = 45+W Equation 2

Substitute Equation 2 into equation 1

P = 2(45+W+W)

P = 90+4W Equation 3

Given: P = 174 ft.

Substitute into equation 3

174 = 90+4W

4W = 174-90

4W = 84

W = 84/4

W = 21 ft.

Substituting the value of W into equation 2

L = 45+21

L = 66 ft.

Hence the dimensions of the playing field is 21 ft by 66 ft