Problema Solution
The length of a rectangle is 2 centimeters greater than the width. If the width is increased by 3 centimeters, and the lenght is increased by 4 centimeters, the area is increased by 88 centimeters squared. Find the original dimensions of the rectangle
Answer provided by our tutors
suppose width = x then length = x+2
area = x(x+2) = x^2 + 2x
new width = (x+3) new length = (x+2+4) = (x+6)
new area = (x+3)(x+6) = x^2 + 9x + 18
we get
x^2 + 9x + 18 = x^2 + 2x + 88
solving we get
x = 10
so width = 10, length = 12