Answer:
Length= 15, width= 9
Explanation:
perimeter of a rectangle P= 2(L+W)
L= length
W= width
48=2(L+W)---------------(1)
twice the length= 2×L= 3L
decreased by three= 2L-3
three times the width= 3×W= 3W
twice the length decreased by three is equal to three times the width
2L-3= 3W-------------------(2)
solving equation one and two simultaneously
from equation (2)
3W= 2L-3
W=2L/3-3/3
W= 2L/3 - 1----------(3)
substitute equation (3) into equation (1)
48=2(L+2L/3-1)
48=2L+4L/3-2
48×3=6L+4L-6
144=10L-6
10L=144+6
10L=150
dividing bothsides by 10
L= 15
substitute L= 15 into equation (2)
2L-3=3W
2(15)-3=3W
30-3 = 3W
27= 3W
3W= 27
dividing bothsides sides 3
3W=27/3
W=9
therefore, Length= 15, width= 9