A border to surround a picture is to be cut from a 10 1/2 in by 10 1/2 in mat board. If picture is 8 3/4 in by 8 3/4 in what is

Question

qaws [65]

3 years ago

10

A border to surround a picture is to be cut from a 10 1/2 in by 10 1/2 in mat board. If picture is 8 3/4 in by 8 3/4 in what is

the width of the board.

Mathematics

1 answer:

Lilit [14] · Answer 1 · 2022-04-18T23:30:21+03:00

Since the dimensions of the length and width are equal, then the board and the picture are squares. The width of the board is the margin surrounding the picture. Let's denote the width to be x. The length of the picture plus the length of the width at both ends should equal the length of the board. So, the equation should be:

10 1/2 in = 8 3/4 + 2x
Solving for x
x = 7/8 inches