The length of a rectangle is 5 inches longer than it is wide. If the area is 150 square inches, what are the dimensions of the rectangle?

Width: 10 inches

Length: 15 inches

Step-by-step explanation:

Let the width be w.

Since the length is 5 inches longer than its width, the length = w +5.

Area of rectangle = length x width

w (w +5) = 150

w^2 + 5w = 150

w^2 + 5w -150 = 0

Using quadratic formula,

w = 10 or -15

Since the width cannot be negative,

the width is 10 inches.

Now just substitute w=10 into length = w +5.

length = 10 + 5

= 15 inches

Step-by-step explanation:

Let width = w in

Length = w + 5 in

Area of rectangle = 150 square inches

length * width = 150

(w +5) * w  = 150

w*w + w*5 = 150

w² + 5w -150 = 0

Sum = 5

Product = -150

Factors = 15 , -10

w² + 5w - 150 = 0

w² + 15w - 10w - 10*15 = 0

w(w + 15) - 10(w - 15) =0

(w + 15)(w -10)= 0

Ignore w +15 because measurement won't come in negative

Therefore, w - 10 = 0

                    w = 10 inches

length = w + 5 = 10 +5 = 15 inches

Length = 15 inches

Width = 10 inches

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

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