the perimeter of a rectangle is 148 feet. the length is 14ft greater than one and a half times the width what is the length of the rectangle please help

Question

shelby1290 · Answer

the formula for perimeter of a rectangle is L + L + W + W = 2L + 2W = P

shelby1290 · Answer

2L + 2W = 148

L is 14ft more than W x 1.5 OR
L = 14 + 1.5W

shelby1290 · Answer

L=?

shelby1290 · Answer

2L + 2W = 148
2(14 + 1.5W) + 2W = 148

shelby1290 · Answer

28 + 3W + 2W = 148

shelby1290 · Answer

28 + 5W = 148
Subtract 28 from each side:
5W = 120
Divide both sides by 5:
W = 24

shelby1290 · Answer

to find L... 
L = 14 + 1.5 (W)
L = 14 + 1.5 (24)
L = 14 + 36
L = 50

shelby1290 · Answer

check to make sure the left side =right side 

2(50) + 2(24) = 148?
100 + 48 = 148?
148 = 148 

its correct

anonymous · Answer

so the length of the rectangle is 50

shelby1290 · Answer

yes

anonymous · Answer

thanks

shelby1290 · Answer

no problem:)