La of sine:
sinC/c = sinB/b==> sin 37°/8 = sin B/12 ==> sin B = 0.903
arcsinB or sin⁻¹ B = 64.5°, & sin (B°) = sin (180° - B°), then
sin(64.5) = sin(180°-64.5°) ==> B = 64.5° or 115.5°
101.28-96 = 5.28
5.28/96 = 0.055
0.055 x 100% = 5.5%
Originally we have
length = x
width = x-2
since the width is 2 inches smaller than the length
now let's triple each dimension. Multiply the expressions by 3 to get
new length = 3*x
new width = 3*(x-2) = 3x-6
Now onto the area
area = (length)*(width)
area = (3x)*(3x-6)
area = 3x*3x-3x*6
area = 9x^2 - 18x
So the new larger rectangle has area of 9x^2-18x
1) D. 77%
2) C. 28.39
3) B. 13.51
