The average area of a living room in the United States is 330 square feet. If the living room is in the shape of a square, what are the approximate dimensions of the room? Be able to solve the problem without a calculator and explain your solution.

Step-by-step explanation:

The area of a square, , is calculated by the square of its sides (). If you want to find , given the , you are just going to take the principal square root of ().

We are given the average area of the living rooms in the United States (). If a living room in the United States is in the shape of a square, the average of its side is .

Solving for without a calculator:

The numbers has no factor that is a perfect square. This means that we cannot write any simpler.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it