Question

the length of a rectangle is 3 cm more than twice its width. if the area of the rectangle is 65, find its length

Answer 1

Solution:-

Given:-

• Area of Rectangle = 65cm²
• It's length is 3 cm more than twice its width.

To Find:-

• length = ?

Find:-

Let the width of the Rectangle be "x" cm.

Let the width of the Rectangle be "x" cm.=) Length = (2x + 3) cm

Now,

Area of Rectangle = Length × Breadth

=) 65 = x ( 2x + 3)

=) 65 = 2x² + 3x

=) 2x² + 3x - 65 = 0

=) 2x² + ( 13 - 10)x - 65 = 0

=) 2x² + 13x - 10x - 65 = 0

=) x ( 2x + 13 ) - 5 ( 2x + 13) = 0

=) ( 2x + 13) ( x - 5)

=) [ x = -13/2 ] and [ x = 5 ].

Answer 2

Answer lies in the attachment.