Question

The width of a rectangle is 22 inches and the perimeter is at least 165 inches. what inequality could be used to find the minimum length.

A) 22•2+2x>165

B) 22+2x<165

C) 22+2x>165

D) 22•2+2x<165

Answer 1

The answer is D.

We know that a rectangle has two widths that are equal and two lengths that are equal. One width is 22, so the other one is also 22.

If you wanted to find the lengths, you would add both widths together (same as multiplying a width by two) and add that to the two lengths equaled to the perimeter.

So, 22 * 2 + 2x = perimeter of rectangle. We added all four sides together.

We know that the perimeter is at least 165, so 22 * 2 + 2x = 165. Here's the twist. They want the most minimum possible length. So, what answer choice gives you 165 or less for the most minimum or smallest length while still getting to 165?
That is D.
22 * 2 + 2x < = 165.
Hope this helped!

Answer 2

The answer is A. The other guy who answered it is right untill the end. Hes saying that the perimeter is less then 165. When the question clearly says that 165 has to be the minimum length for the perimeter. Hope this strightens things out for ya.