The dimensions of a rectangular garden is length is (2x+3) and the width is (3x-5). find the length of the perimeter is equal to 26

The formula of a perimeter of a rectangle:

P = 2l + 2w

We have P = 26, l = 2x + 3 and w = 3x - 5.

Substitute:

2(2x + 3) + 2(3x - 5) = 26      use distributive property

(2)(2x) + (2)(3) + (2)(3x) + (2)(-5) = 26

4x + 6 + 6x - 10 = 26     combine like terms

(4x + 6x) + (6 - 10) = 26

10x - 4 = 26       add 4 to both sides

10x = 30       divide both sides by 10

x = 3

l = 2x + 3 → l = 2(3) + 3 = 6 + 3 = 9

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