The area of a rectangle is given by the relation A=8x^2+18x+7. a) Determine expressions for the possible dimensions of this rectangle. b) Determine the dimensions and area of this rectangle if cm.

Question

The area of a rectangle is given by the relation A=8x^2+18x+7. 

a) Determine expressions for the possible dimensions of this rectangle. 

b) Determine the dimensions and area of this rectangle if cm.

Answer 1

Area = 8x^2 +18x +7 cm^2

(4x + 7)(2x +1) = Area

= Length times Width

L W Area x

7 1 7 0

11 3 33 1

15 5 65 2

19 7 133 3

etc.

7 by 1 cm

11 by 3 cm

15 by 5 cm

19 by 7 cm

23 by 9 cm

27 by 11 cm

etc.