Question

The width of a rectangle is 2 inches less than it's length, and the area is 35 square inches. What are the length and width of the rectangle?

Answer 1

w=width
l=length
w=l-2
Area of rectangle =A=wl=(l-2)l=l^2-2l
but the area is A=35
so l^2-2l=35
l^2-2l-35=0
so we need to solve this for l
-7*5=-35
-7+5=-2
so
l^2-2l-35=(l-7)(l+5)=0
l=7, l=-5
but it makes no sense for the length to be a negative so l=7
and if l=7, then w=7-2=5

Answer 2

Thank you so much:D

Answer 3

np