Answer:
Length of the rectangle =25
width of the rectangle = 20
Step-by-step explanation:
Step(i):-
Let 'x' be the width of the rectangle
Given that the length of a rectangle is 5 m more than its width
Given that Area of the rectangle = 500m²
length of a rectangle = x +5
width of a rectangle = x
Step(ii):-
Area of the rectangle = length × width
500 = x ( x+5)
x² + 5 x = 500
⇒ x² + 5 x - 500 =0
⇒ x² +25x - 20 x - 500 =0
⇒ x( x+25) -20(x+25) =0
⇒ (x-20)(x+25) =0
⇒ x =20 and x=-25
we can choose x =20
Step(iii):-
Length of the rectangle = x +5 = 20 +5 =25
width of the rectangle = 20
Final answer:-
Length of the rectangle =25
width of the rectangle = 20
