Respuesta :

Given data:

The expression for the length of the rectanngle is L=B+5.

The given area of the rrectangle is A=84 cm^2.

The expression for the area of the rectangle is,

A=LxB

Substitute the given values in the above expression.

84=(B+5)(B)

B^(2)+5B-84=0

B^(2)+12B-7B-84=0

B(B+12)-7(B+12)=0

(B+12)(B-7)=0

B=7 cm

The lenght of the rectangle is,

L=7CM+5cm

=12 cm.

Thus, the lenght of the rectangle is 12 cm, and width of rectangle is

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