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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??

Respuesta :

calculista

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 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

[tex]\frac{50}{20}=\frac{L}{35}\\ \\ L=50*35/20\\ \\L=87.5\ ft[/tex]

step 2

Find the area of the new rectangle

we know that

The 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]

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