Answer:
The length of the rectangle = 12 feet
The width of the rectangle = 5 feet
Step-by-step explanation:
Step(i):-
Given that the length of the rectangle = (x+9)feet
Given that the width of the rectangle = (x+2)feet
Area of the rectangle = 60 square feet ...(i)
we know that
Area of the rectangle = length × width
= (x+9)(x+2) ....(ii)
Equating (i) and (ii) , we get
(x+9)(x+2) = 60
⇒ x² + 2x +9 x +18 =60
⇒ x² +11 x +18-60 =0
⇒ x² + 11 x -42 =0
⇒ x² +14 x -3 x - 42 =0
⇒ x (x+14) -3(x+14) =0
⇒ (x -3) ( x+14) =0
⇒ x -3 =0 and x+14 =0
⇒ x=3 and x=-14
step(ii):-
we choose value x =3
The length of the rectangle = (3+9) = 12 feet
The width of the rectangle = (3+2) = 5 feet
Final answer:-
The length of the rectangle = 12 feet
The width of the rectangle = 5 feet
