Respuesta :
Answer:
Given: Gables property Corp is leasing office buildings with an area of [tex]49x^2 + 70x+25[/tex]
⇒ Area = [tex]49x^2 + 70x+25[/tex]
we can write this as:
Area = [tex](7x)^2+2\cdot (7x) \cdot (5) + (5)^2[/tex] .....[1]
Use the identity formula:
[tex](a+b)^2 = a^2+2ab +b^2[/tex]
then, by using this formula in [1] we have;
Area = [tex](7x+5)^2[/tex]
or
Area = [tex](7x+5)(7x+5)[/tex] square units
Area of building = [tex]l \times w[/tex] where l is the length and w is the width respectively;
⇒ [tex]l = w = 7x+5[/tex] units
Therefore, the possible length and width of the building is;
l = 7x+5 units
w = 7x+5 units
As we know that the Area of a square is equal to side times side . Since each side of a square is the same, it can simply be the length of one side squared.
Therefore, the possible shape of the building is Square.
