The dimensions of the rectangle are 10 by 4
Step-by-step explanation:
The area of a rectangle is given by product of the length and width.
Area=l*w where l is the length and w is the width.
Assume the width to be x
The length is 6 units greater than the width,which is x+6
The area will be x(x+6) = x²+6x
This area x²+6x= 40
Form a quadratic equation as x²+6x-40=0
Solving the quadratic equations;
x²+6x-40=0
x²+10x-4x-40=0
x(x+10)-4(x+10)=0
(x-4)(x+10)=0
x-4=0
x=4 taking a positive value for length then;
width will be x=4 units
Length will be x+6 = 4+6=10
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