SOLUTION: The width of a rectangle is three more than half the length. It’s perimetter cisb78 centimeters, find the length and width

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Question 1123766: The width of a rectangle is three more than half the length. It’s perimetter cisb78 centimeters, find the length and width

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
let's the length be L and width W
if the width of a rectangle is three more than half the length, we have
W=L%2F2%2B3....eq.1

if the perimeter is 78 centimeters, we have
2%28L%2BW%29=78....eq.2
substitute W from eq.1
2%28L%2BL%2F2%2B3%29=78...... solve for L
2L%2B2%28L%2F2%29%2B2%2A3=78
2L%2BL%2B6=78
3L=78-6
L=72%2F3
highlight%28L=24%29


go back to eq.1, substitute L and solve for W

W=24%2F2%2B3....eq.1
highlight%28W=15%29


so, the length is 24 and width 15 centimeters