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 b

Question

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 6 feet. The area of the logo must be at most 15 square feet. Write an inequality that describes the possible base lengths (in feet) of the triangle.

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Isabelle 3 days 2021-10-10T23:58:05+00:00 1 Answer 0

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    2021-10-10T23:59:37+00:00

    Answer: b\leq5

    Step-by-step explanation:

    We know that the area of a triangle is given by :-

    \text{A}=\dfrac{1}{2}\times Base\times Height

    Let b be the base (in feet)  of the triangle .

    it is given that  , The school wants the height of the triangle to be 6 feet.

    Then, the area of triangle will be :-

    \text{A}=\dfrac{1}{2}\times b\times 6=3b            (1)

    The area of the logo must be at most (less than or equal to) 15 square feet.

    i.e. Area ≤ 15 square feet         (2)

    Now, Substitute the value of A from (1) into (2) , we get

    3b\leq15

    Divide both sides by 3  , we get

    b\leq5

    Hence, the inequality that describes the possible base lengths (in feet) of the triangle :

    b\leq5

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