Solve for the given length: The length of a rectangle is 3 m longer than its width. The area of the rectangle is 154 m2. What is the width of the rectangle?
Mathematics · High School · Mon Jan 18 2021
Answered on
Let the width of rectangle be x
Then, according to question length of rectangle is x + 3
Area of rectangle = 154 m²
Formula :
Area of rectangle = Length × Width
154 = ( x + 3)x
154 = x² + 3x
x² + 3x - 154 = 0
Using middle-term split method,
x² + 14x - 11 x - 154 = 0
x( x + 14) - 11(x + 14) = 0
(x - 11)(x + 14) = 0
So, x = 11
And, x = - 14
Since, width cannot be negative. Width of rectangle is 14 m.