The area of a rectangle is A=LW, the area of a square is A=S^2.

W=S-2 and L=2S-3

And we are told that the areas of each figure are the same.

S^2=LW, using L and W found above we have:

S^2=(2S-3)(S-2) perform indicated multiplication on right side

S^2=2S^2-4S-3S+6 combine like terms on right side

S^2=2S^2-7S+6 subtract S^2 from both sides

S^2-7S+6=0 factor:

S^2-S-6S+6=0

S(S-1)-6(S-1)=0

(S-6)(S-1)=0, since W=S-2, and W>0, S>2 so:

S=6 is the only valid value for S. Now we can find the dimensions of the rectangle...

W=S-2 and L=2S-3 given that S=6 in

W=4 in and L=9 in

So the width of the rectangle is 4 inches and the length of the rectangle is 9 inches.

5 0

2 years ago

Mulder and Scully are driving to the same town. Mulder leaves the office at 9:30a.m. averaging 57mph. Scully leaves at 10:00a

koban [17]

Answer:

Scully will catch up with Mulder by 7:30 PM.

Step-by-step explanation:

Consider the provided information.

Mulder leaves the office at 9:30a.m. averaging 57mph.

Scully leaves at 10:00a.m., following the same path and averaging 60 mph.

Distance covered by Mulder between 9:30 AM and 10:00 AM:

$\frac{57}{2}= 28.5$ miles