The perimeter of a rectangle is 36 m. If the length is three times the width, what is the length?

13.5 meters

Step-by-step explanation:

As the rectangle has 4 sides and the length is three times the width, each pair of a long side and a short side has a perimeter of 18 meters. As the ratio is 3:1, there are 4 parts in 18 meters, and 18 divided by 4=4.5. As the length covers 3 parts, and there are 4.5 meters per part, 4.5x3=13.5. The length of the rectangle is 13.5 meters. Hope it helps!

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true