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Answers
Answer:
Hey
Step-by-step explanation:
Given:
length (x + 8) meters
width is (x - 2) meters
area is at least 120 square meter
Solution:
Formula for area of rectangular shape is LW
A = LW
(x+8)(x-2) ≥ 120
Equation:
(x+8)(x-2) ≥ 120
x² + 6x - 16 ≥ 120
x² + 6x - 136 ≥ 0
Finding possible value of x
x² + 6x - 136 ≥ 0
x² + 6x - 136 = 0
x² + 6x + 9 = 136+9
(x+3)² = 145
x + 3 = √145
x + 3 = ±12.04, approximately 12
x+3 = ±12
x = 12+3
x = 15
x = -12+3
x = -9
Use the positive solution
x = 15
x ≥ 15
if x = 15
lenght = x+8 = 23
width = x-2 = 13
Area = 299 ✓ correct
if x = 14
lenght = x+8 = 22
width = x-2 = 12
Area = 264 ✓ correct
if x = 9
lenght = x+8 = 17
width = x-2 = 7
Area = 119 X Wrong
If x = 10
lenght = x+8 = 18
width = x-2 = 8
Area = 144 ✓ correct
Dimension
Length ≥ 18 meters
Width ≥ 8 meters