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A rectangle has a length of (2x+3) cm and a width of (x+5) cm. square 2x+3

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A rectangle has a length of
(2x+3) cm and a width of (x+5) cm.
square 
2x+3

A rectangle has a length of (2x+3) cm and a width of (x+5) cm. square 2x+3

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CarterElite · Tutor for 8 years

Answer

\( Area = 2x^2 + 13x + 15 \)

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## Step 1:<br />The area of a rectangle is given by the formula \( Area = length \times width \). <br /><br />### \( Area = length \times width \)<br /><br />## Step 2:<br />Substitute the given length and width into the formula.<br /><br />### \( Area = (2x + 3) \times (x + 5) \)<br /><br />## Step 3:<br />Expand the brackets using the distributive property of multiplication over addition.<br /><br />### \( Area = 2x^2 + 10x + 3x + 15 \)<br /><br />## Step 4:<br />Combine like terms.<br /><br />### \( Area = 2x^2 + 13x + 15 \)
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