Question

7) The area of rectangle A is twice the area of square B. Find x. 12

Answer 1

Answer:

Step-by-step explanation:

A=2B

AreaA= Area of a rectangle=Base* height = base (12-x)*height(4) = 48-4x

AreaB = Area of rectangle=base(x) *Height(x) =x^2

Since A=2B

48-4x =2x^2

Divide both sides of the equation by 2

24-2x=x^2

Put everything all on one side

X^2-2x-24=0

(x+4)(x-6)=0

X=-4 and x=6

Only x makes sense since it’s not negative or else your base or one of your sides would be negative

So x=6