Question

Gables property Corp is leasing office buildings with an area of 49x^2 + 70x +25

Answer 1

Answer:

Given: Gables property Corp is leasing office buildings with an area of $49x^2 + 70x+25$

⇒ Area = $49x^2 + 70x+25$

we can write this as:

Area = $(7x)^2+2\cdot (7x) \cdot (5) + (5)^2$            .....[1]

Use the  identity formula:

$(a+b)^2 = a^2+2ab +b^2$

then, by using this formula in [1] we have;

Area = $(7x+5)^2$

or

Area = $(7x+5)(7x+5)$ square units

Area of building = $l \times w$ where l is the length and w is the width respectively;

⇒ $l = w = 7x+5$ 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.