1 Answer

Aystub · Answer 1 · 2021-01-14T12:18:02+0000

Answer:

$x \ge 15$

Explanation:

An isosceles ∆ has 2 equal sides. The perimeter of a ∆ is the sum of all its sides.

Given that the perimeter of the triangle above is "at least 137 ft", this means the sum of all its sides is equal to or greater than 137 ft.

Thus, using inequality, this can be represented as:

$2(2x + 7) + 4x + 3 \ge 137$

Solve for x

$4x + 14 + 4x + 3 \ge 137$

Add like terms

$8x + 17 \ge 137$

Subtract 17 from both sides

$8x + 17 - 17 \ge 137 - 17$

$8x \ge 120$

Divide both sides by 8

$(8x)/(8) \ge (120)/(8)$

$x \ge 15$

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