Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

Mary Frances has a rectangular garden plot that encloses an area of 48 yd². If 28 yd of fencing are purchased to enclose the garden, what are the dimensions of the rectangular plot?

To determine

To Find:

The dimensions of the rectangular plot when its’ area and perimeter are provided.

Formula Used:

The area A of a rectangle whose base has length b and whose altitude has length h is given by A=bh.

The perimeter of a polygon is the sum of the lengths of all sides of the polygon.

P=2(b+h), where b is length of the base and h is the altitude.

Calculation:

It is given that the rectangular garden plot that encloses an area of 48 yd²and the 28 yd of fencing are purchased to enclose the garden.

Fencing covers the rectangular plot. That gives the perimeter of the rectangular plot.

The area A of a rectangle whose base has length b and whose altitude has length h is given by A=bh=48 yd2 .

The perimeter of a rectangular region is P=2b+h=28 yd,

Consider the equations, bh=48 and 2b+h=28 .

It can be simplified as follows,

Substituting the value of 'h' from (1) in (2)

Check out a sample textbook solution.

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Elementary Geometry for College St...

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Elementary Geometry for College St...

Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are purchased to enclose the garden, what are the dimensions of the rectangular plot?

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