SOLUTION: the area of a square is 32 square units. if a side length is x+2.5 find x to the nearest tenth

Question 972716: the area of a square is 32 square units. if a side length is x+2.5 find x to the nearest tenth
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Area is 32 sq units. It is a square, so sides are equal and area is s^2
s^2=32
s=4 sqrt (2) ;; sqrt(16)* sqrt (2)
That is 5.66 or 5.7 to the nearest tenth.
BUT, the side is equal to X+2.5
Therefore, X+2.5=5.7
X=3.2
Can do it by setting x^2+5x +6.25=32; (x+2.5)^2 expanded
x^2+5x-25.75=0 and using the quadratic formula
Positive square root only
[-5 + sqrt (25+103}/2
=[-5 +sqrt (128)]/2
(1/2) (-5+11.3)= (1/2)(6.3)=3.2 with rounding

RELATED QUESTIONS
If the area of a square is 70 sq units, what is the length of the side of the square?... (answered by greenestamps)

The side length of a square is (8+2x) units. The area of this square is the same as the... (answered by mananth)

A=LW The area of this rectangle is 21 square units. Find its length(the Horizontal... (answered by checkley79)

If the side length of a square can be represented by 2x + 10 and its area is 256 square... (answered by MathLover1)

The length of a side of a square is x. If the area of the square is 12, find... (answered by tommyt3rd)

Explain how you would find the length of one side of a square if the area is 16 square... (answered by algebrahouse.com)

Explain how you would find the length of one side of a square if the area is 16 square... (answered by Fombitz)

The perimeter of a square is 72 units if each side of the square is x units find x (answered by Timnewman)

The area of a square garden is 150 square feet. What is the length of each side of the... (answered by rfer)