SOLUTION: If the breadth of a rectangle is decreased by 20% and the length increased by 10%, a square of area 1936m^2 is obtained what is the area of the rectangle in square metres. A) 2200

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Question 1184908: If the breadth of a rectangle is decreased by 20% and the length increased by 10%, a square of area 1936m^2 is obtained what is the area of the rectangle in square metres.
A) 2200
B)3500
C)2250
D)1450
E)4506
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
i get selection A = 2200 square meters.

here's why.

if you take 80% of the width and 110% of the length, you get a square with an area of 1936 square meters.

the square root of 1936 = 44.

80% of your width must be equal to 44.
110% of your length must be equal to 44.

if 80% of your width is equal to 44, then your original width must have been 44 / .8 = 55.

if 110% of your length is equal to 44, then your original length must have been 44 / 1.1 = 40

your original length is 40 and your original width is 55.
your original area must be 40 * 55 = 2200.