A 16ft²square Photograph Is Mounted With Border On A Square Frame.if The Total Area O…

A 16ft²square photograph is mounted with border on a square frame.if the total area of tge border is 4.25ft².what is the lengthof a side of the frame?

Answer:

4.5 ft

Step-by-step explanation:

FIRST SOLVE FOR THE TOTAL AREA, BY ADDING THE AREA OF THE PHOTOGRAPH AND THE AREA OF THE BORDER.

TOTAL AREA = 16ft² + 4.25ft²

TOTAL AREA = 20.25 ft²

SO, SINCE THE PHOTOGRAPH IS SQUARE (QUADRILATERAL WITH 4 EQUAL SIDES) , THE BORDER IS ALSO A SQUARE.

AREA OF SQUARE = S² OR S×S

SUBSTITUTE:

A= S²

20.25 =S²

√20.25=√S²

S= 4.5 ft.

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