contestada

Please help!! Due in 1 hour! The length of a rectangle is 5 centimeters less than its width. What are the dimensions of the rectangle if its area is 266 square​ centimeters? In need to find the length and width

Respuesta :

haneylia
The equation for area of a rectangle is: a = lw (length times width)

x(x-5) = 266

x^2 - 5x = 266

x^2 - 5x - 266 = 0

We can apply the quadratic formula to get the 2 answers which solve the problem

The two answers are 19 and -14. Because measurement can't be negative, the positive value of 19, which is the width.

The length is 5 centimeters less.

19 - 5 = 14 centimeters

The width is 19 centimeters and the length is 14 centimeters, even though the width is usually said to be the smaller number.


Ver imagen haneylia

Length = 14 centimeters and width = 19 centimeters of the given rectangle.

What is rectangle?

" Rectangle is a quadrilateral whose opposite sides are parallel and congruent to each other. Each interior angle of the rectangle is of measure 90°."

Formula used

Area of a rectangle = length × width

According to the question,

Area of the rectangle = 266 square centimeters

'b' represents the width of the rectangle

'l' represents the length of the rectangle

As per the given condition we have,

l = b - 5

Substitute the value in the formula we get,

  ( b - 5) × b = 266

⇒ b² - 5b -266 =0

Solve it by splitting  the middle term we get,

   b² -19b +14b -266 = 0

⇒ b(b - 19) +14(b - 19) = 0

⇒ ( b - 19) (b + 14) = 0

⇒ b = 19 or b = -14

Width cannot be negative.

Therefore,

  b = 19centimeters

⇒ l = 19 - 5

⇒ l  = 14 centimeters

Hence, Length = 14 centimeters and width = 19 centimeters of the given rectangle.

Learn more about rectangle here

https://brainly.com/question/15019502

#SPJ2

Otras preguntas

Q&A Education