Question

El area de una cancha de basquetbol

Answer 1

Answer:

The length is 28.656 m and the width is 14.656 m

Explanation:

The question in English is

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