A team is excavating an archeological site. The original plan was to excavate a rectangular area 35 ft longby 20 ft wide. Instead, the team decided to excavate a similar rectangle that is 50 ft wide. Find the lengthand the area of the new rectangle.CAN SOMEONE HELP??
Accepted Solution
A:
Answer:Part 1) The length of the new rectangle is [tex]87.5\ ft[/tex]Part 2) The area of the new rectangle is [tex]4,375\ ft^{2}[/tex]Step-by-step explanation:we know thatIf two rectangles are similar, then the ratio of its corresponding sides is proportionalstep 1Find the length of the new rectangleLetL-----> the length of the new rectangle[tex]\frac{50}{20}=\frac{L}{35}\\ \\ L=50*35/20\\ \\L=87.5\ ft[/tex]step 2Find the area of the new rectanglewe know thatThe area of the rectangle is[tex]A=LW[/tex]we have[tex]L=87.5\ ft[/tex][tex]W=50\ ft[/tex]substitute[tex]A=(87.5)(50)=4,375\ ft^{2}[/tex]