The rectangle shown has a perimeter of 90 cm and the given area. Its length is 5 times more than 3 times its width. Write and solve a system of equations to find the dimensions of the rectangle. The area is 350 cm

can you give me more detail on this! ?

step-by-step explanation:

step-by-step explanation:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0

answer: (x+2) (x+3) are the binomials for your question : )