The area of a rectangle is 150 cm^2. The height is 5 cm longer than width Find the width of the rectangle

If the area of a rectangle is 150 , the width of the rectangle is -15 or -10 cm.

Given the following data:

Area of a rectangle = 150

To find the width of the rectangle:

Translating the word problem into an algebraic equation, we have;

....equation 1.

Mathematically, the area of a rectangle is given by the formula;

 ....equation 2.

Substituting the values into the formula, we have;

Solving the quadratic equation by using factorization:

Width, W = -15 or -10 cm

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Let width be x and height be x +5.

x(x+5) = 150

x^2 +5x = 150

x^2 + 5x - 150 = 0

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

Width can't be negative so it is 10 cm, and height is 15 cm.

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