SOLUTION: Trying to solve this question Quadratic Equation word problem. A rectangle is 2 meters longer than it is wide. If the area of the rectangle is 35 square meters what is the width?

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Question 1178958: Trying to solve this question Quadratic Equation word problem.
A rectangle is 2 meters longer than it is wide. If the area of the rectangle is 35 square meters what is the width?
Found 3 solutions by mananth, ikleyn, josgarithmetic:
Answer by mananth(16946)   (Show Source):
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A rectangle is 2 meters longer than it is wide. If the area of the rectangle is 35 square meters what is the width?
let width be x m
length will be x+2 m
Area = 35 sq.m,

Area = L * W
x(x+2)=35
x^2+2x=35
x^2+2x-35=0
factorise
x^2+7x-5x-35=0
x(x+7)-5(x+7)=0
(x-5)(x+7)=0
x= 5 Or -7
Ignore negative
width is 5 m
lengthe = 7 m

Answer by ikleyn(52776)   (Show Source):
You can put this solution on YOUR website!
.

Actually, this problem is to guess the answer mentally in 2 seconds.

I mean 2 seconds after you have read the condition twice.

( If you know the multiplication table, of course. )

Answer by josgarithmetic(39616)   (Show Source):
You can put this solution on YOUR website!
Width of w
Length of w+2

Any two numbers differing by 2 and are factors of 35?

5 and 7.
Width 5
Length 7