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A school is painting its logo in the shape of a triangle in the middle of its sports field. The school wants the height of the triangle to be feet. The area of the logo must be at most 14 square feet. (The school doesn't want to buy more paint.) Write an inequality that describes the possible base lengths (in feet) of the triangle.
Use b for the base length of the triangular logo.

Respuesta :

MrRoyal

The inequality that describes the base length of the triangle is b ≤ 28/h

How to determine the inequality that describes the base length of the triangle?

From the question, we have the following parameters that can be used in our computation:

  • Base = b
  • Height = h
  • Area = At most 14 square feet

The area of a triangle can be calculated using the following formula

Area = 1/2 * Base * Height

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * b * h

Evaluate the products

Area = 1/2bh

Recall that

Area = At most 14 square feet

This means that

Area ≤ 14

So, we have

1/2bh ≤ 14

Multiply through by 2

bh ≤ 28

Divide both sides by h

b ≤ 28/h

Hence, the inequality is b ≤ 28/h

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https://brainly.com/question/25275758

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