Write an expression to represent the perimeter of the rectangle:.
a. 2x + 30
b. x + 45
c. 6x + 15
d. x + 15
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Answer:
a. 2x + 30
Step-by-step explanation:
The perimeter of a rectangle is represented by
2l + 2w
So substitute the rectangle values into the equation.
2(2/3(x) + 10) + 2(1/3(x) + 5)
Rewrite fractions for clarity.
2(2x/3 + 10) + 2(x/3 + 5)
Distribute the two into the first expression.
4x/3 + 20 + 2(x/3 + 5)
Distribute the two into the second expression.
4x/3 + 20 + 2x/3 + 10
Combine like terms.
6x/3 + 30
Simplify 6x/3.
2x + 30.