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Ad libitum [116K]
3 years ago
6

El area de una cancha de basquetbol

Health
1 answer:
Ira Lisetskai [31]3 years ago
8 0

Answer:

The length is 28.656 m and the width is 14.656 m

Explanation:

<u><em>The question in English is</em></u>

The area of a basketball court  is 420 m² if the length is 14 meters  more than the width, what are its dimensions?

Let

L ----> the length of the basketball court

W ---> the width of the basketball court

we know that

The area of the of rectangular court is

A=LW

we have

A=420\ m^2

so

420=LW ----> equation A

L=W+14 ----> equation B

substitute equation B in equation A and solve for W

420=(W+14)W\\\\W^2+14W-420=0

Solve the quadratic equation by graphing

The solution is W=14.656\ m

see the attached figure

Find the value of L

L=14.656+14=28.656\ m

therefore

The dimensions are

The length is 28.656 m and the width is 14.656 m

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