math word problem?

For a performance at an outdoor​ event, a folk music group rented a tent with a bottom shaped like a triangle. The base of this triangle was 40 ft and the height was 13 and one half ft

​, and it was placed in a corner of a small park that measured 150 ft by 150 ft. How much of the park space was left for the​ audience?

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  • 3 months ago

    For a performance at an outdoor​ event, 

    a folk music group rented a tent with a bottom shaped like a triangle. 

    The base of this triangle was 40 ft and the height was 13 and one-half ft,​and it was placed in a corner of a small park that measured 150 ft by 150 ft. How much of the park space was left for the​ audience?

    More information of the triangle is to be provided.

  • 3 months ago

    You have a triangle within a square.  You want the are of the square that isn't taken up by the triangle. So, find the area of both and subtract out the area of the smaller:

    A = s² and A = bh/2

    A = 150² and A = 40(13.5)/2

    A = 22500 and A = 270

    subtract the smaller from the larger:

    22500 - 270 = 22,230 ft² is left for the audience.

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