a rectangular enclosure at a zoo is 35 feet long by 18 feet wide. the zoo doubles the area of the enclosure by adding the same distance to the length and width. what are the new dimensions of the enclosure?

Respuesta :

The new dimensions of the enclosure is length is 45 feet and the new width is 28 feet

What is Area of Rectangle?

Area of rectangle is length times of breadth.

Given that rectangular enclosure at the zoo is 35 feet long by 18 feet wide. It means length is 35 feet and width is 18 feet.

Area of Rectangle=Length × Width

=35×18

=630

The zoo wants to double the area of the enclosure by adding the same distance x to the length and width.

(35+x)×(18+x)= 2(630)

630+35x+18x+x²=1260

x²+53x+630-1260=0

x²+53x-630

Now use the quadratic formula we get

x=10.

The new length is 35+10=45

The new width is 18+10=28.

Hence the new length is 45 and the new width is 28 feet after doubling of the area of enclosure.

To learn more on Area o click:

brainly.com/question/20693059

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