Answer:
The dimensions of Marianne scarf = 12 × 7 inches
The length of the scarf =12inches
The width of the scarf = 7 inches
Step-by-step explanation:
Step(i):-
Let 'x' be the width of the scarf
Given that the length of the scarf = x+5
The area of the rectangle = length × width
Given that the area of the rectangle (scarf) = 84 square inches
Step(ii):-
length × width = 84
(x+5) × x = 84
x² + 5x - 84 =0
x² + 12 x - 7 x - 84 =0
x(x+12) -7( x+12) =0
(x-7)(x+12) =0
x -7 =0 and x+12=0
x =7 and x= -12
Step(iii):-
We have to choose x =7
The length of the scarf = x+5 = 7+5 =12inches
The width of the scarf = x = 7 inches
