The area of a pentagon increased by 27 is the same as four times the area of the pentagon, minus 15. What is the area of the pentagon?
Answer (2)
Set up an algebraic equation. This is what it looks like based on what the question tells you:
Let a = area of pentagon a+27 = 4a-15 3a-15 = 27 3a = 42 a = 14
The area of the pentagon is 14 square units. This was determined by setting up and solving the equation based on the problem's conditions. The calculation was verified by checking the original relationship provided in the problem.
;
