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7. The length and width of a rectangle are shown below.50-X2x+10Which expression represents the area, in square units of the rectangle?A. 22²902500B2.290.0500C.22900 500D. 222902500

User Bilal Rabbi
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1 Answer

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The formula for determining the area of a rectangle is expressed as

Area = length x width

Given that

length = 2x + 10

width = 50 - x

The area would be

Area = (2x + 10)(50 - x)

We would open the bracket by multiplying the terms inside one bracket by the terms inside the second bracket. Thus, we have

Area = 2x * 50 + 2x * - x + 10 * 50 + 10 * - x

Area = 100x - 2x^2 + 500 - 10x

Area = - 2x^2 + 100x - 10x + 500

Area = - 2x^2 + 90x + 500

The expression for the area is

- 2x^2 + 90x + 500

User Anitha
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