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4 years ago

If the length of the square is increased by 2 and the width is decreased by 2, by how many units is the area of

Mathematics

1 answer:

mrs_skeptik [129]4 years ago

3 0

Answer:

4 units

Step-by-step explanation:

Let x represent the length of the square

Area of the square = x^2

So, the dimension of the rectangle formed is:

length = x + 2

width = x - 2

Area of the rectangle = ( x + 2 ) * ( x - 2 )

solve the parenthesis

x^2 - 2x + 2x - 4

Area of the rectangle = x^2 - 4

subtract this area from that of the square

x^2 - ( x^2 - 4 )

=x^2 - x^2 + 4

= 4 units

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laila [671]

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4 years ago

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3 years ago

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3 years ago

Which sign makes this statement true

Vesna [10]

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4 years ago

Read 2 more answers

Solve (x - 3)^2+7=97, where X is a real number. Round your answer to the nearest hundredth.

Eddi Din [679]

Answer:

x ≈ - 6.49, x ≈ 12.49

Step-by-step explanation:

Given

(x - 3)² + 7 = 97 ( subtract 7 from both sides )

(x - 3)² = 90 ( take the square root of both sides )

x - 3 = ± $\sqrt{90}$ ( add 3 to both sides )

x = 3 ± $\sqrt{90}$

Then

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x = 3 + $\sqrt{90}$ ≈ 12.49 ( to the nearest hundredth )

6 0

3 years ago