SOLUTION: the area of a square is 45 more than the perimeter. find the length of a side.

Question 376217: the area of a square is 45 more than the perimeter. find the length of a side.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!



Hi

Let x represent the length of each side of the square

P = 4x

question states***

x^2 = 45 + 4x

x^2 - 4x -45 = 0

(x - 9)(x+5) = 0

(x+5)= 0

x = -5 cannot use

(x-9)= 0

x = 9, the length of each side of the square

CHECKING our Answer***

9^2 = 81 = 4*9 + 45 = 36 + 45 = 81 

RELATED QUESTIONS

the area of a square is 45 more than the perimeter. find the length of a side... (answered by stanbon,ewatrrr)
The area of a square is 45 more square inches than its perimeter.  Find the length of... (answered by )
.the area of a square bookcase is 21 more than the perimeter. find the length of a... (answered by joyofmath)
the area of a square is 21 more than the perimeter. Find the length of a... (answered by jim_thompson5910)
the area of a square is 77 more than the perimeter. Find the length of a... (answered by ben720)
The area of a square is numerically 77 more than the perimeter. Find the length of the... (answered by checkley79)
the area of a square is numerically 5 more than the perimeter. Find the length of the... (answered by mananth)
the area of a square is numerically 117 more than the perimeter. Find the length of the... (answered by kevwill)
The area of a square is numerically 77 more than the perimeter. Find the length of the... (answered by reviewermath)