A picture measuring 4 inches by 6 inches is placed inside a frame which has equal width around the entire picture. If the area of the frame and the picture is 63 square inches, what is the width of the frame

1.5 inches.

Step-by-step explanation:

A picture measuring 4 inches by 6 inches is placed inside a frame which has equal width around the entire picture.

The area of the frame and the picture is 63 square inches.

Question asked:

What is the width of the frame ?

Solution:

Let width of the frame =

Then combined length (frame and picture) =

Similarly, combined width (frame and picture) =

By using:-

Combined area of the frame and the picture = 63 square inches

-

Subtracting both sides by 24

Subtracting both sides by 39

Since, width can never be in negative thus,

Therefore, width of the frame is 1.5 inches around the entire picture.

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )