Question

A team is excavating an archeological site. The original plan was to excavate a rectangular area 35 ft long

by 20 ft wide. Instead, the team decided to excavate a similar rectangle that is 50 ft wide. Find the length
and the area of the new rectangle.
CAN SOMEONE HELP??

Answer 1

Part 1) The length of the new rectangle is
`87.5\ ft`

Part 2) The area of the new rectangle is
`4,375\ ft^(2)`

Explanation:

we know that

If two rectangles are similar, then the ratio of its corresponding sides is proportional

step 1

Find the length of the new rectangle

Let

L-----> the length of the new rectangle

`(50)/(20)=(L)/(35)\\ \\ L=50*35/20\\ \\L=87.5\ ft`

step 2

Find the area of the new rectangle

we know that

The area of the rectangle is

`A=LW`

we have

`L=87.5\ ft`

`W=50\ ft`

substitute

`A=(87.5)(50)=4,375\ ft^(2)`