Question

Write an expression that represents the perimeter of the football field. Let x represent the length of the football field. Include parentheses in your expression. Next, write an equivalent expression that does not include parentheses. What property or properties did you use to simplify? Explain.

The width of the field is seventy yards shorter than the length.

Can anybody help me? I'm stuck.

Answer 1

Expression with parenthesis: = 2 ( l + w)
Expression without parenthesis = 2l + 2w

The property we used is known as "Distributive Property"

Let, width = w
Length = w + 70

Perimeter would be: P = 2(w+70+w)
p = 2(2w+70)
p = 4w + 140

Hope this helps!