Answer:
Below
Explanation:
L X W is area of rectangle ...this figure can be viewed as a rectangle on top of a rectangle
top rectangle is 3x-2 wide and (2x+5) - (3x-2) length
area = (3x-2)( (2x+5) - (3x-2) )
= (3x-2) ( -x + 7) = - 3x^2 + 23x -14 units^2
The bottom is then (3x-2 + 2) * (3x-2)
area = (3x)(3x-2) = 9x^2 - 6x units^2
Add the two areas together (-3x^2+23x-14) + (9x^2 -6x)
6x^2 + 17x -14 and this = 25 cm^2 (given)
6x^2 + 17x -14 = 25
6x^2 + 17x - 39 = 0 Use Quadratic Formula to find x = 1.5
then find the longest side using this value of x
3x-2 + 2 = 4.5 cm
2x+5 = 8 cm <=====longest side