the dimensions of a rectangle are such that its length is 3 in more than its width. If the lenght decreased by 1 in. the area would be increased by 236in^2. What are the lenght and width of the rectangle?

Question

dumbcow · Answer

A = x(x+3)

wait is that a typo? if length is small the rectangular should have a smaller area?

anonymous · Answer

Typo: the dimensions of a rectangle are such that its length is 3 in more than its width. If the length doubled and if the width decreased by 1 in. the area would be increased by 236 in^2 . What are the length and width of the rectangle?

dumbcow · Answer

ahh that makes more sense

A=x(x+3)  -->  A = x^2 +3x
and
A+236 = (x-1)*2(x+3)  --> A+236 = 2x^2+4x-6

solve by substitution

anonymous · Answer

still not understand honestly

dumbcow · Answer

x is width, x+3 is length , A is area

double length is 2*(x+3)  , width -1 is just x-1

replace "A" with "x^2 +3x" into 2nd equation

set equal to 0, then solve for x using quadratic formula

anonymous · Answer

Thanks =D

dumbcow · Answer

no problem