Hazem has a wooden strip of length 180 centimeters. He intends to create a rectangular picture frame where one of the dimensions exceeds the other by 15 centimeters.
Write the equation expressing this situation and solve it to determine the frame's dimensions.
MR/Nasef.N
Let the dimensions of the frame be \( X \) cm and \( (X - 15) \) cm.
\[ 2(X + X - 15) = 180 \]
\[ 2X - 15 = 180 \div 2 = 90 \]
\[ 2X = 90 + 15 = 105 \]
\[ X = 105 \div 2 = 52.5 \]
The dimensions are: 52.5 cm and 37.5 cm
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