Math, asked by angel614, 9 hours ago

solve and show your solution.

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Answers

Answered by yadavdev1315
0

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

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