Answer:
8. D) 2x + 8
9. C) 6x + 32 = 158
10. 50 ft
Explanation:
Look at the picture.
9. The perimeter of the rectangle l × w:
P = 2l + 2w
Substitute l = 2x + 8 and w = x + 8:
P = 2(2x + 8) + 2(x + 8) use the distributive property
P = (2)(2x) + (2)(8) + (2)(x) + (2)(8)
P = 4x + 16 + 2x + 16 combine like terms
P = (4x + 2x) + (16 + 16)
P = 6x + 32
10. Solve the equation:
6x + 32 = 158 subtract 32 from both sides
6x = 126 divide both sides by 6
x = 21
Put the value of x to the expression 2x + 8:
2(21) + 8 = 42 + 8 = 50