Question

Simple Algebra I!
@mathmale @kmeis002 @Potatoes.ramu

Answer 1

Barry had a rectangular farm with dimensions x feet and 20 feet. He put a fence along 30 feet of the boundary of the farm.

An expression is shown below:

(2x + 40) - 30

Part A: What does the expression represent? (4 points)

Part B: What does 2x + 40 represent? (3 points)

Part C: What does 2x represent? (3 points)

Answer 2

@tHe_FiZiCx99

Answer 3

I got confused. :\

Answer 4

Sorry for the delay! the perimeter of Barry's field is 2(length) + 2(width), or 2x+2(20). He then builds a 30 foot fence, but the field is still essentially unenclosed. The given expression represents the length of the perimeter WITHOUT fencing.

Answer 5

Okay, the reason I am confused is why they added the "+ 40", why did they do that?

Answer 6

Suppose that the width of the field is x, and that the length is 20 ft. Then the perimeter is 2(lenght) + 2(width) = 2(20 ft) + 2x. So that 40 represents the sum of the lengths of the longer sides.

Answer 7

OH. Okay.

Answer 8

I arbitrarily assigned the width of the field the name x and the length of the field the actual measurement, 20 feet. I could have done it the other way around also.

Answer 9

So for Part A:

The expression represents how much fence speace has has so far. (i am saying this because of the "-30")

Part B:

The perimeter.

Part C:

The missing dimension times 2, so we can calculate the perimeter correctly.

Answer 10

Excuse me, but I'd like to rewrite the ans. for part a as: "2x+40-30 represents that part of the perimeter of the field that has NOT yet been fenced."

Answer 11

It's important that you include that word "perimeter" in there.

Answer 12

Part C: IF we agree to assign the width of the field the name x, then 2x is "twice the width of the field." But what you've written, "the missing dimension (x), times 2" is OK. Mine is a bit more explicit.

Answer 13

I'm going to help another student, one more, before I hit the sack. Great working with you; I look forward to next time. Many thanks for the medal.

Answer 14

Thank you for helping me. :}