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3 years ago

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A rectangle has a width of 2.5. When the length of this rectangle is decreased by 5 inches, the new area of the rectangle is 17.

5.
Part A: Write an equation to represent this situation, where x represents the original length of the rectangle.
Part B: Find the original length of the rectangle.

1 answer:

kati45 [8]3 years ago

7 0

<h3><u>Part A: An equation to represent this situation, where x represents the original length of the rectangle is:</u></h3>

$17.5 = (x-5) \times 2.5$

<h3><u>Part B: Original length of the rectangle is 12 inches</u></h3>

<em><u>Solution:</u></em>

Given that,

A rectangle has a width of 2.5

Therefore,

width = 2.5 inches

Let "x" be the original length of the rectangle

When the length of this rectangle is decreased by 5 inches

Therefore,

New length = x - 5

The new area of the rectangle is 17.5 square inches

Therefore,

<em><u>The area of rectangle is given as:</u></em>

$Area = length \times width$

$17.5 = (x-5) \times 2.5\\\\17.5 = 2.5x - 12.5\\\\2.5x = 17.5 + 12.5\\\\2.5x = 30\\\\x = 12$

Thus original length of the rectangle is 12 inches

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