another rectangle has length and width in the ratio of 3:2. If the length is increased by eight and the width is increased by 50%, the ratio of the new perimeter to the original perimeter is 8:5. Find the area of the new rectangle

Area of the new rectangle = 148.8 cm square

Step-by-step explanation:

Let x be the dimensions of the rectangle then the

Perimeter of the Original rectangle = 2 (L+B)

= 2 (3x+2x) = 2 (5x) = 10xcm

If the length is increased by eight the new length would be 3x + 8

and width would be 2x+x = 3x after 50 % increase

Perimeter of the new rectangle = 2 (L+B)

= 2 (3x+8 + 3x)

= 2 (6x+8)

= 12x + 16

Ratio of the new perimeter to the original perimeter is

New perimeter : Original perimeter

8 : 5

12x + 16 : 10x cm

80x = 60x + 16

20x = 16

x = 16/20 = 4/5

Putting the value of length and breadth in place of x

Area of the new rectangle = L*B = 3 * (4/5) + 8 * 3 (4/5) =

= 12 + 40/5 * 12/5

= 62/5 * 12/5

= 744/5

= 148.8 cm square