Question

A landscaper is constructing a rectangular garden with an area of 108 square feet. He draws the garden on paper and represents the length as and the width as (x-1) . Find the length and the width of the garden(x-4). Select all that apply
7 feet
8 feet
9 feet
12 feet
13feet

plssss help

Answer 1

The length and width of the garden is 12 feet and 9 feet respectively.

Given that, length of garden $=(x-1)$

Width of garden $=(x-4)$

Area of garden is 108 square feet.

      $Area=length*width\\\\108=(x-1)*(x-4)\\\\x^{2} -5x+4=108\\\\x^{2} -5x-104=0\\\\x^{2} -13x+8x-104=0\\\\x(x-13)+8(x-13)=0\\\\(x-13)(x+8)=0\\\\x=13,x=-8$

Since, side can not be negative.

So we will consider, $x=13$

Length$=x-1=13-1=12feet$

Width$=(x-4)=13-4=9feet$

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