A rectangular yard measuring 25 ft by 35 ft is bordered (and surrounded) by a fence. Inside, a...

Question:

A rectangular yard measuring 25 ft by 35 ft is bordered (and surrounded) by a fence. Inside, a walk that is 2 ft wide goes all the way along the fence. Find the area of this walk.

Rectangular Area:

A rectangle is a figure that has four sides where the opposite sides are equal and each of the interior angles is 90 degrees. An example of a rectangle is a laptop screen or a football pitch. The rectangular area is the area that is covered by the flat rectangular figure.

Answer and Explanation:


The area of a rectangle is calculated using the formula:

  • {eq}A = l\times w {/eq}

The area of the whole rectangular yard is equal to:

  • {eq}A = 25\, \rm ft\times 35\, \rm ft = 875\, \rm ft^2 {/eq}

If a 2 ft wide walk is removed all around the rectangular yard, both the width and the length of the yard will reduce by {eq}4\, \rm ft {/eq}.

Thus, the area of the yard after a walk that is 2 ft wide is equal to:

  • {eq}A1 = 21\, \rm ft \times 31\, \rm ft = 651\, \rm ft^2 {/eq}

Thus, the area of the walk is equal to:

  • {eq}A - A1 = 875\, \rm ft^2 - 651\, \rm ft^2 = \boxed{224\, \rm ft^2} {/eq}

Learn more about this topic:

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Measuring the Area of a Rectangle: Formula & Examples

from Geometry: High School

Chapter 8 / Lesson 7
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