Let width of the rectangle be x.
Therefore ,Length= 3 + 2x
Area= 35
(3+2x)* x =35
3x + 2x^2 - 35 = 0
(2x-7)(x+5)
Therefore x=3.5
Length is 10 and Width is 3.5
Answer:
Area = length × width
90 = (3+2w) × w
w(2w + 3) = 90
2w² +3w = 90
2(w² +3/2w) = 90
Divide both sides by 2
2(w² +3/2w)/2 = 90/2
w² + 3/2w = 45
w² + 3/2w + (3/2•2)² = 45 + (3/2•2)²
w² + 3/2w + (3/4)² = 45 + (3/4)²
w² + 3/2w + 9/16 = 45 + 9/16
(w + 3/4)² = 729/16
Take the square root of both sides
√(w + 3/4)² = √729/16
w + 3/4 = 27/4
w + 3/4 -3/4 = ±27/4 - 3/4
w = 27/4 - 3/4 w = -27/4 - 3/4
w = 6m w = -7.5m
Area = length × width
90 = l × 6m
when x = 6m when x = -7.5 m
l = 90 m²/6m l = 90 m²/-7.5m
l = 15 m l = -12m
We cannot have negative dimension so
A = 90m²
l = 15m
w = 6m
Step-by-step explanation:
