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Q8. The area of this rectangle is 28 cm² (x+2)cm (x+2)cm (6x-1)cm (6x-1)cm Work out the perimeter of the rectangle.
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10 votes
10 votes
Q8.

The area of this rectangle is 28 cm²
(x+2)cm
(x+2)cm
(6x-1)cm
(6x-1)cm

Work out the perimeter of the rectangle.

User JSobell
by
3.0k points

1 Answer

24 votes
24 votes
(X+2)(6X-1)=28, 6X^2-X+12X-2=28

6X^2+11X-2-28=0, 6X^2+11X-30=0

(6X+20)(6X-9)=0

(3X+10)(2X-3)=0

X = -10/3, X = 3/2 cm, , so length is 8 cm and width is 3.5 cm. Perimeter is (8+3.5)×2= 23 cm.
User PattaFeuFeu
by
3.2k points
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