Beverly places a gift into a box of equal dimensions and realizes the box is too small. She needs a box with dimensions that are 9 centimeters more than 2 times the dimensions of the first box. If x represents the length of the first box, which of the following functions represents the surface area of the box?

B(x)= 24x squared plus 216x + 486

Step-by-step explanation:

i did it on study island

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2