Question
Sara has a photo that is 5 inches by 7 inches. When she adds a frame to it, she gets an area of 63 square inches. Hiw wide is the frame ?
Answers
First, we need to find the area of the original photo without the frame. This can be done by multiplying the length by the width:
5 inches x 7 inches = 35 square inches
Next, we can use the formula for the area of a rectangle (A = lw) to find the width of the frame, given the total area (63 square inches) and the original length and width (5 inches and 7 inches):
A = lw + 2wL + 2wW
63 = 35 + 2w(5) + 2w(7)
63 = 35 + 10w + 14w
63 = 35 + 24w
28 = 24w
w = 1.17 inches
Therefore, the width of the frame is approximately 1.17 inches.
5 inches x 7 inches = 35 square inches
Next, we can use the formula for the area of a rectangle (A = lw) to find the width of the frame, given the total area (63 square inches) and the original length and width (5 inches and 7 inches):
A = lw + 2wL + 2wW
63 = 35 + 2w(5) + 2w(7)
63 = 35 + 10w + 14w
63 = 35 + 24w
28 = 24w
w = 1.17 inches
Therefore, the width of the frame is approximately 1.17 inches.
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