Area of a rectangle: A= Length*width (2x+1)(x+2)=77 2x^2+4x+x+2=77 2x^2+5x+2=77 2x^2+5x-75=0 (x-5)(2x+15)=0 x=5 or x=-7.5 Length cannot be negative, so x=5 only the length is 11, the width is 7 Next, let's look at the triangle. Area of a triangle: A=1/2 of base*height (1/2)(2x+2)(x+3)=35 2x^2+8x+6=70 2x^2+8x-64=0 x^2+4x-32=0 (x-4)(x+8)=0 x=4 the base is 10, the height is 7
