The width and the length of a rectangular piece of plywood are 4 feet and 8 feet, respectively. Along one edge of the plywood, a strip x inches wide and 8 feet long is removed. Then, along an edge perpendicular to the 8-foot edge, a strip x inches wide is removed. For what value of x will the remaining rectangular piece have width and length in the ratio of 2 to 5? (1 foot = 12 inches)

Accepted Solution

Answer:16 inchesStep-by-step explanation:Refer the pic attachedIt shows how the rectangular piece looks at last after removing 2 stripesso the final dimensions of the rectangular piece is 8-x,4-xLength= 8-xwidth=4-xGiven[tex]\frac{width}{length} =\frac{2}{5}[/tex][tex]\frac{4-x}{8-x} =\frac{2}{5}[/tex][tex]20-5x=16-2x[/tex][tex]3x=4[/tex][tex]x=\frac{4}{3}[/tex] feetgiven 1 foot= 12 inches⇒ [tex]x=\frac{4\times12}{3} =16\text{inches}[/tex]