SOLUTION: A field is 3 metres longer than wide. The width of the field is x metres. The area of the field is 10m squared. Find x

Question 1004936: A field is 3 metres longer than wide.
The width of the field is x metres.
The area of the field is 10m squared.
Find x
Found 2 solutions by fractalier, addingup:
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
If the width is x, ten the length is x+3.
Area A = LW = x(x+3) = 10
x^2 + 3x = 10
x^2 + 3x - 10 = 0
(x+5)(x-2) = 0
x = 2
It is a 2m by 5m field.
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
L= W+3 and we are calling the Width x:
L= x+3
And we are told that:
x*(x+3)= 10
x^2+3x= 10 Subtract 10 from both sides:
x^2+3x-10= 0 Factor the equation (FOIL). Find two numbers that when added or subtracted give you 3 and when multiplied -10. The factors of 10 are: 1, 2, 5, 10. Got them, 5 and 2 are our numbers:
(x+5)(x-2)= 0 Now break in 2 equations:
x+5= 0 or x-2= 0
x= -5 or x= 2 We are looking for a positive number, so toss the -5 and keep the 2:
x= 2
Proof:
x*(x+3)= 10
2*(2+3)= 10
2*5= 10 We've got the correct answer.
RELATED QUESTIONS
the length of a rectangular field is 2 metres longer than the width the diagonal of the... (answered by josgarithmetic,MathTherapy,ikleyn)
A rectangular field has a perimeter of 370 metres. The length of the field is 5 metres... (answered by macston)
the area of a square field is twice that of a rectangular field if the rectangular field... (answered by macston)
The length of a rectangular field is seven metres longer than the width. If the perimeter (answered by josgarithmetic)
A rectangular field is 60 metres long and 30 metres wide. A cow wanders randomly around... (answered by ikleyn)
The length of a field is 200ft longer than it is wide. The area of the field is 57,600... (answered by amarjeeth123)
the perimeter of a rectangular field is 480 square metres and area is 10800 square metres (answered by unlockmath)
The side length of a square field is x metres. Write down in terms of x an expression for (answered by Cromlix)
The perimeter of a field is 840m .if the length is 25 metres longer than the width... (answered by Cromlix)