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The length of a rectangle is 5 more than the side of a square, and the width of the rectangle is 5 less than the side of the square. If the area of he square is 45, what is the area of the rectangle

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Answer:

20

Step-by-step explanation:

Given :

Length = l

Width = w

Area of square = 45

Let side of square = x

Area of square = x²

45 = x²

√45 = x

l of rectangle = x + 5 = √45 + 5

w of rectangle = x -5 = √45 -5

Area of rectangle= l * w

Area = (√45 + 5) * (√45 - 5)

Area = 45 - 5√45 + 5√45 -25

Area = 45 -25

Area of rectangle = 20

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