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The length of a rectangular garden is 7 feet longer than its width. The garden's perimeter is 190 feet. Find the width of the garden.

Respuesta :

Answer:

The width of the garden is 44 feet.

Step-by-step explanation:

A rectangular shape has 4 sides, so the perimeter would be x + x + y + y. We know that the total is 190 feet, and the length is 7 feet longer than the width.

Let x be the width of the rectangle.

Let y be the length of the rectangle; (y = x + 7)

Equation: 190 = x + x + y + y

190 = x + x + (x + 7) + (x + 7)

Combine like terms: 190 = 4x + 14

Find x: 190 - 14 = 4x, 176 = 4x, x = 44.

44 feet is the width of the garden.

Check: 44 + 44 + (44 + 7) + (44 + 7) = 190