The melt in your mouth chocolate factory is a rectangular building the distance across the front of the store is 294 feet the distance from the front to the back is one third of this distance if the owners paint a sing all the way around the outside of the factory how many feet long will the sing be?

The sign would be 784 feet long.

Step-by-step explanation: The distance across the front of the store is given as 294 feet. We shall take this as the length L. Also the distance from the front to the back which is the width W, is one third of the length (294). One third of 294 is 294 divided by 3 which equals 98. So having known the L as 294 and the W as 98, the chocolate factory wants to paint a sign all the way around the walls of the factory, in other words, they want a sign to run along the entire perimeter of the building. The perimeter of a rectangle is given as;

Perimeter = 2(L + W)

Perimeter = 2(294 + 98)

Perimeter = 2(392)

Perimeter = 784

Therefore the sign would be 784 feet long

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