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A rectangle is formed by increasing two opposite sides of a
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08 Apr 2018, 10:10
08 Apr 2018, 10:10
Expert Reply
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Question Stats:
87% (00:51) correct
12% (01:51) wrong based on 16 sessions
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A rectangle is formed by increasing two opposite sides of a square of side length x by y units, and decreasing the two remaining sides of the square by y units. What is the area of the rectangle?
A. \(4x\)
B. \(4x - 2y\)
C. \(x^2 - 2y\)
D. \(x^2 + 2y\)
E. \(x^2 - y^2\)
A. \(4x\)
B. \(4x - 2y\)
C. \(x^2 - 2y\)
D. \(x^2 + 2y\)
E. \(x^2 - y^2\)
Drill 2
Question: 9
Page: 508
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Question: 9
Page: 508
Re: A rectangle is formed by increasing two opposite sides of a
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08 Apr 2018, 21:06
08 Apr 2018, 21:06
One side is increased by y units, so x+y is the length.
One side is reduced by y units, so x-y is the breadth.
Area of rectangle = length*breadth
(x+y)(x-y) = x^2-y^2
Hence the answer is 2
One side is reduced by y units, so x-y is the breadth.
Area of rectangle = length*breadth
(x+y)(x-y) = x^2-y^2
Hence the answer is 2
Re: A rectangle is formed by increasing two opposite sides of a
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18 Apr 2018, 15:34
18 Apr 2018, 15:34
Expert Reply
Explanation
The dimensions of the new rectangle will be x + y and x – y.
To find the area of the rectangle, multiply the length by the width: \((x + y)(x - y) = x^2 - y^2\). The answer is choice (E).
Or, you can just plug in values for x and y.
The dimensions of the new rectangle will be x + y and x – y.
To find the area of the rectangle, multiply the length by the width: \((x + y)(x - y) = x^2 - y^2\). The answer is choice (E).
Or, you can just plug in values for x and y.
