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The perimeter of a rectangle is 40. The width is 6 less than the length. Find the length and width of the rectangle.

User Boycy
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2 Answers

3 votes

Answe

Explanation:

User Felinira
by
8.2k points
6 votes

Answer:

The length of the rectangle is 13 units and the width is 7 units.

Let's call the length of the rectangle L and the width W. According to the information provided:

The perimeter of a rectangle is given by the formula:

Perimeter = 2(L + W).

The width is 6 less than the length, which can be expressed as:

W = L - 6.

We're given that the perimeter is 40, so we can write the equation for the perimeter using the expressions for L and W:

40 = 2(L + (L - 6))

Now, let's simplify and solve for L:

40 = 2(2L - 6)

Now, distribute the 2 on the right side:

40 = 4L - 12

Add 12 to both sides:

40 + 12 = 4L

52 = 4L

Now, divide by 4 to find the length L:

L = 52 / 4

L = 13

Now that we have the length (L = 13), we can find the width using the equation W = L - 6:

W = 13 - 6

W = 7

So, the length of the rectangle is 13 units, and the width is 7 units.

User Pavan Gupta
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