A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the length of the rectangle.

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

Required

Determine the length of the rectangle:

Area is calculated as thus:

Substitute 3W - 12 for L and 135 for Area

Reorder:

Divide through by 3

Expand:

or

or

But width can't be negative

So:

Recall that:

Hence, the length 15 yards

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

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