Explain how to get the width of the room which is 320 square feet and the width of the room is 4/5 of its length.

16 feet. Here's how I got 16: Assuming the room is a rectangle, you would follow these steps: The area of a rectangle is length multiplied by width, or area = length x width. You have the area, so it would be 320 = length x width. We will substitute the length for the variable n. Now your equation looks like this: 320 = n x width. The width is 4/5 of the length, so you would multiply the length, n, by 4/5. width = 4/5n. When you put this in the equation, it would look like this: 320 = n x (4/5n). Next you simplify, so it becomes 320 = 4/5n^2. (^2 means squared.) Then you divide everything by 4/5 to get 400 = n^2. To find n, you find the square root of 400, which gives you 20, so n= 20. Now you know that the length of the room is 20 feet. Since the width is 4/5 the length, you multiply 20 by 4/5 to get 16. The width of the room is 16 feet. If you'd like to check your answer, simply plug the numbers back into the equation and see if they work. 320 = 20 x 16. 20 x 16 does equal 320, so the answer is correct. The width of the room is 16 feet.

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

when multiplying or dividing by a negative on both sides you have to flip the inequality sign. this rule only applies to multiplying or dividing by a negative number in inequality equations. this rule is really important.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice