Answer:
138 cm.
Step-by-step explanation:
So first, we find the S.A. of the front and back.
The diagram says the side length of the front is 3 cm. and 3 cm.
3x3=9. So then, the back is also 9 cm, 9+9=18.
Now to find the S.A.'s of the four sides, you have to see the side lengths of each of them. The side lengths are 3 and 10.
3x10=30. This means each of them is 30 cm.
30x4=120. 120 is the total surface area of the four sides.
To find the total surface area of the whole rectangle, you add all the surface areas.
120+18=138 cm. (Not squared, since it's surface area and not area.)
The quadratic equation is in factored form, which is f(x) = (x - a)(x - b), where a and b are the x-values for the x-intercepts.
The x-values for the x-intercepts are 4 and -2. We know that the y-value at any x-intercept must be 0 (otherwise it isn't an x-intercept).
Thus, either the points (4,0) or (-2,0) must be your answer (the question is only asking for one x-intercept).
