SOLUTION: a rectangle of length x and width 4 is cut out of a rectangle of length x+9 and width x. Find the area of the resulting shape, if all dimensions are in meters?

Question 173066: a rectangle of length x and width 4 is cut out of a rectangle of length x+9 and width x. Find the area of the resulting shape, if all dimensions are in meters?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a rectangle of length x and width 4 is cut out of a rectangle of length x+9 and width x. Find the area of the resulting shape, if all dimensions are in meters?
----------------
Draw the picture of the rectangle inside a larger rectangle.
--------
The inner rectangle has an area of 4x sq.meters.
-------------
The larger rectangle (including the inner rectangle) has
area = x(x+9) = x^2+9x sq meters.
-------------
EQUATION:
Area you want = larger area - smaller area
A = x^2+9x - 4x
A = x^2+5x
=============
Cheers,
Stan H.
RELATED QUESTIONS
the length of a rectangle is (x + 4) centimeters and the width of the rectangle s (3x +... (answered by lwsshak3)

A rectangle of length x and width 5 is cut out of a rectangle of length x+12 and width x. (answered by Flake)

The area of a rectangle is x^2 - x - 6. The length and width are increased by 9. Find... (answered by Alan3354)

Find the area of a rectangle whose length is x and its width is... (answered by MathLover1)

I need to find the area of a rectangle when 9 is the length and x+11 is the... (answered by tommyt3rd)

Find x if shaded area of a rectangle is 90(the whole rectangle is shaded except for the 3 (answered by Earlsdon)

the width of a rectangle is x+4. The length is 2x-9. Find the area of the rectangle in... (answered by nyc_function)

The area of a rectangle is 91 square centimeters. Its length is x+2 and its width is x-4. (answered by Aldorozos,addingup)

The length and width of a rectangle are epresented by (x+6) and (x-4). Express the area... (answered by mathsteacher)