Question

The area of a rectangle is 35m^2

Answer 1

 Hey there :)

Let us change the sentence into mathematics:
Area of rectangle = 35 m²
Length of rectangle is 3 m more than twice the width = 3 + 3w
Width = w

We know the area formula of a rectangle
Area = length × width

Dimensions of the rectangle are:
35 = w ( 3 + 2w )
35 = 3w + 2w²

Take all values to one side and equate to 0

2w² + 3w - 35 = 0

Factor:
( 2w - 7 ) ( w + 5 ) = 0
 w = $\frac{7}{2} = 3.5 m$ or w = - 5 ( Reject because lengths can never be negative )

Therefore the dimensions are:
Width = 3.5 m
Length = 3 + 2 ( 3.5 ) = 10 m