A 16ft²square Photograph Is Mounted With Border On A Square…
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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