Answer:
The length of the rectangle (l) = 3 feet
The width of the rectangle (W) = 10 feet
Explanation:
Step(i):-
Given that the width of the rectangle = (x+1) feet
Given that the length of the rectangle = ( x-6) feet
The area of the rectangle = 30 square feet
Step(ii):-
We know that the area of the rectangle
= length ×width
30 = ( x+1)(x-6)
30 = x² - 6x + x -6
⇒ x² - 5 x - 6 = 30
⇒ x² - 5 x - 6 - 30 =0
⇒ x² - 5 x - 36 =0
x² - 9 x +4x - 36 =0
x (x-9) +4 ( x-9) =0
( x+4 ) ( x-9) =0
( x+4 ) =0 and ( x-9) =0
x =-4 and x =9
Step(iii):-
we have to choose x =9
The length of the rectangle (l) = x-6 = 9-6 =3
The width of the rectangle (W) = x+1 = 9 +1 = 10
Final answer:-
The length of the rectangle (l) = 3 feet
The width of the rectangle (W) = 10 feet