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I have just can not get this question. Solve the problem. A picture 11 inches by

ID: 3095326 • Letter: I

Question

I have just can not get this question. Solve the problem. A picture 11 inches by 15 inches is to bemounted on a piece of matboard so that there is an even amount ofmat all around the picture. How wide will the border be if the areaof the mounted picture is 285 square inches? Thank you for taking a look and for the help. I have just can not get this question. Solve the problem. A picture 11 inches by 15 inches is to bemounted on a piece of matboard so that there is an even amount ofmat all around the picture. How wide will the border be if the areaof the mounted picture is 285 square inches? Thank you for taking a look and for the help.

Explanation / Answer

FIRST YOU FIND THE AREA OF THE PICTURE:                      11 TIMES 15 = 165in2 SECOND YOU SUBTRACT THE TOTAL AREA OF THE MOUNTED PICTURE ONTHE MAT BOARD   FROM THE AREA OF THE UNMOUNTEDPICTURE:                            285-165=120 LAST YOU DIVID 120 BY 4 BECAUSE THE MATBOARD IS A SQUARE ANDHAS FOUR SIDES:                           120 DIVIDED BY 4 IS 30 SO THE BORDERSHOULD BE 30 INCHES ON EACH SIDE. SECOND YOU SUBTRACT THE TOTAL AREA OF THE MOUNTED PICTURE ONTHE MAT BOARD   FROM THE AREA OF THE UNMOUNTEDPICTURE:                            285-165=120 LAST YOU DIVID 120 BY 4 BECAUSE THE MATBOARD IS A SQUARE ANDHAS FOUR SIDES:                           120 DIVIDED BY 4 IS 30 SO THE BORDERSHOULD BE 30 INCHES ON EACH SIDE.