Question

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

Answer 1

Answer:

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

Part 2) The area of the new rectangle is $4,375\ ft^{2}$

Step-by-step 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

$\frac{50}{20}=\frac{L}{35}\\ \\ L=50*35/20\\ \\L=87.5\ ft$

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

$A=(87.5)(50)=4,375\ ft^{2}$