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Maslowich
3 years ago
13

4. (LT 1.1) The perimeter of the rectangle below is 40 feet. Its length and width are

Mathematics
1 answer:
Bezzdna [24]3 years ago
7 0

Answer:

Length, L = 9 feet.

Width, W = 11 feet.

Step-by-step explanation:

<u>Given the following data;</u>

Perimeter = 40 feet

Length = 3x

Width = 2x + 5

The perimeter of a rectangle is given by the formula;

P = 2(L + W)

40 = 2(3x + 2x +5)

40 = 2(5x + 5)

40 = 10x + 10

10x = 40 - 10

10x = 30

x = 30/10

x = 3

<em><u>Now, to find the length;</u></em>

Length, L = 3x

Substituting into the equation, we have;

Length, L = 3*3

Length, L = 9 feet

<em><u>To find the width;</u></em>

Width, W = 2x + 5

Substituting into the equation, we have;

Width, W = 2(3) + 5

Width = 6 + 5

<em>Width, W = 11 feet. </em>

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