Question 1132041: A picture measures is 30cm by 15cm. The mat around the picture is 10 cm wide. Find the area of the mat. Found 2 solutions by MathLover1, ikleyn:Answer by MathLover1(20849) (Show Source):
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A picture measures are 30cm by 15cm. The mat around the picture is 10 cm wide. Find the area of the mat.
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The correct solution and the correct answer are below :
Assume that the mat is outside the picture. Then the outer dimensions are
30 + 2*10 = 50 cm and 15 + 2*10 = 35 cm.
The total area is:
(30+2*10) cm *(15+2*10) cm = 50*35cm^2 = 1750 cm^2
The area of the picture is:
30 cm * 15 cm = 450 cm^2
The area of the mat alone is (total area - area of picture):
1750 cm^2 - 450 cm^2 = 1300 cm^2
Similar problems were solved, probably, about 100 times in this forum.
The major lesson to learn from the solution is THIS :
the width of the frame must be added TWO TIMES to the measures of a picture to get outer dimensions.
