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 4 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.

Question

Roger

Mathematics

23 July, 07:14

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 4 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.

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Answers (2)

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Stella · Answer 1

b≤ 7 feet

A≥ hb/2

Step-by-step explanation:

A = (height * base) / 2

A=14 feet square

h (height) = 4

14≥4b/2, 14 ≥ 2b then 14 has to be greater than 2b

inequality will be : 2b≤14, b≤ 7

Trystan Salazar · Answer 2

I think it's 7 feet.