# math

posted by .

The area of a frame is equal to 120in^2.it surrounds a 4in x 6in photo.the frame is of uniform width.how wide is the frame ?

• math -

the 4x6 photo has area 24 in^2
So, the frame has area 120-24 = 96 in^2

If the frame has width x, then its area is

2(4x) along the ends
+2(6x) along the sides
+4x^2 on the corners

so,

4x^2 + 8x + 12x = 96
x^2 + 5x - 24 = 0
x = 3

So, the frame is 3in wide

check:
total dimensions are 10x12, so area = 120

## Similar Questions

1. ### math,help

can someone please just set the equation for me to solve this problem . thanks A solar collector is 2.5m long by 2.0m wide. It is held in place by a frame of uniform width around its outside edge. If the exposed collector area is 2.5m^2, …
2. ### calculus

What size should be the frame be? Suppose an artist has a circular picture with a diameter 6 inches which she wishes to frame by a uniform width frame with covers 1/2 inch width uniformity of the painting and has total area equal to
3. ### College Algebra/Geometry

What size should be the frame be? Suppose an artist has a circular picture with a diameter 6 inches which she wishes to frame by a uniform width frame with covers 1/2 inch width uniformity of the painting and has total area equal to
4. ### math/algebra

the length of a rectangular frame is 5 cm more than the width. the area inside the frame is 66 square cm. find the width of the frame.
5. ### math

a picture 8 in. by 12 in. is placed in a frame which has uniform width. if the area of the frame equals the area of the picture, find the dimension of the frame
6. ### Math

a picture 8 in. by 12 in. is placed in a frame which has a uniform width. if the area of the frame is equal to the area of the picture, find the dimension of the frame (if you would,just give me the formula and i'll take it from there) …
7. ### Math

A frame around a photo is 5 cm wide. The photograph is 20 cm long and 10 cm wide. What percentage of the entire area is the frame.
8. ### algebra

A 3 by 5 inch picture is put into frame with a mat that has width x. Draw picture inside the frame, write the expression of the width and length of the frame AND the picture together. If the total area of the frame with the picture …
9. ### math

A large picture 2m by 2m is displayed on a wall it is place in a frame with a border of uniform width A. How would you represent the length of the side of the frame?
10. ### math

A large picture,2m by 2m,is displayed on a wall.It is place in a frame with a border of uniform width. A. How would you represent the length of side of the frame?

More Similar Questions