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the perimeter of a rectangle is 4(4x - 5) inches. the length of the sides of the rectangle are 2x + 3 inches and 3x + 2 inches. write and solve an equation to find the length of each side of the rectangle.

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maniknandini

Answer:

lengths of rectangle are 13, 17

Step-by-step explanation:

perimeter = 2 * (l + b) = 4(4x - 5)

l = 2x + 3

b = 3x + 2

4(4x - 5) = 2 * (2x + 3 + 3x + 2)

16x - 20 = 2 * (5x + 5)

16x - 20 = 10x + 10

6x = 30

x = 5

l = 2*5 + 3 = 13

b = 3*5 + 2 = 17

Answer:

Width: 13

Length: 17

Step-by-step explanation:

2(2x+3) + 2(3x+2) = 4 (4x -5)

4x + 6 + 6x + 4 = 16x - 20

10x + 10 = 16x - 20

10 + 20 = 16x - 10x

30 = 6x

30/6 = x

x = 5

Width : 2(5)+3 = 13

Length: 3(5)+2 = 17

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