1/2 of 2 equals one whole because half of 2 , is one .
Let b= length and a=width
Area= a*b and the problem said b=2a+3 (the length is 3ft more than double the width)
Replace b into Area formula:
Area= a*(2a+3) and we know that Area=77ft from the problem, so:
77=2a^2+3a now order and equal to zero:
2a^2+3a=77 now solve this with quadratic formula and you will get so values for a: -7ft and 5.5ft as you know the dimensions could not be negative so the correct answer for "a" side is 5.5ft, for getting the b side you haeve to replace a=5.5 into b=2a+3 and you will get b=2*5.5+3= 14ft.
Finished.
Length (L): 4w - 5
width (w): w
Perimeter (P) = 2L + 2w
140 = 2(4w - 5) + 2(w)
140 = 8w - 10 + 2w
140 = 10w - 10
150 = 10w
15 = w
Length (L): 4w - 5 = 4(15) - 5 = 60 - 5 = 55
Answer: width= 15meters, length=55 meters
A° = 1/2 (90) = 45°
b° = 1/2[360 - (110 + 90)]
b° = 1/2(160)
b° = 80°
a° + b° = 45° + 80° = 135°
Answer
135°