Aportrait without its frame has a height 1.5 times its width w, in inches. the width of the frame is 3 inches on all sides. what is the area of the frame

The area of the frame is

Step-by-step explanation:

Given portrait without frame has a height of

Where is width of portrait.

Also, width of frame is

Now, we will compute the height of the frame

In order to find the total height of frame we need to add the width of frame two times into the height of the portrait.

So, initially height of portrait was

Now, height of frame is

As the frame is in rectangular shape,  

Total area of frame would be

Height of frame width of frame Width of portrait width of frame.

The total area of the frame is

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8

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