From the text you can derive the following equations:
(1) A = bh/2 = 8
(2) and h = b+6
Fill in h in (1):
b(b+6)/2 = 8 => b^2 + 6b = 16 with the quadratic formula or simply trying some values for b you can find b=2, so h=8.
Step 1:
x² + 4x = 192
Step 2:
Take x common:
x ( x + 4) = 192
Length is x and width is x+4
Step 3:
x² + 4x - 192 = 0
Step 4:
x² + 16x - 12x - 192 = 0
x(x+16) - 12(x+16) = 0
(x-12)(x+16) = 0
⇒ x=12, x=-16
Because the length can't be -16, the length is 12.
Answer:
6.397 × 10^9
Step-by-step explanation:
1.
Answer C. (8)
2.
Answer C. [6x^(4/3)]
3.
Answer D. (the one with 36x²)
4.
Answer B. (2a^(2/3)b²)
5.
Answers C. and D.
