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02-06-2021
Mathematics

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A square is changed into a rectangle by increasing the length of the square by 5 units to be (x + 5) and increasing the width by 3 units to be (x + 3). Write a simplified expression that represents the area of the resulting rectangle in square units?

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goyangi goyangi

02-06-2021

Area of the rectangle = x^2 + 8x + 15 square units

Explanation:

Length = x + 5
Breadth = x + 3

Area = l x b = (x + 5)(x + 3) = x(x + 3) + 5(x + 3) = x^2 + 3x + 5x + 15 = x^2 + 8x + 15 square units

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