Make use of the fact that side lengths in similar triangles are proportional.
.. 30/18 = (20 +x)/20
.. 20*(30/18) -20 = x . . . . multiply by 20, subtract 20
.. 33 1/3 -20 = x . . . . . . . . evaluate the product
.. 13 1/3 = x
Answer: the area of the finished tarp is 131872 square inches
Step-by-step explanation:
Search strip of tarp is rectangular. The formula for determining the area of a rectangle is expressed as
Area = length × width
An order was placed for a rectangular tarp that will be made up of 8 strips of fabric. Each strip is 26 inches wide and 634 feet long. The area of each strip of tarp is
Area = 26 × 634 = 16484 square inches
Therefore, the area of the finished tarp would be
8 × 16484 = 131872 square inches
