Q:

The perimeter of a basketball court is 90 meters and the length is 6 meters longer than twice the width. What are the length and​ width?

Accepted Solution

A:
The length of basketball court is 32 meters and width is 13 meters.Step-by-step explanation:Perimeter = 90 metersLet w be the widthLength = l = 2w + 6As basketball court are in rectangular shapes, therefore,Perimeter = 2(length+width)[tex]90=2(2w+6+w)\\90=2(3w+6)\\90=6w+12\\90-12=6w\\6w=78[/tex]Dividing both sides by 6;[tex]\frac{6w}{6}=\frac{78}{6}\\w=13\ meters[/tex]Length = 2w+6[tex]l=2(13)+6\\l=26+6\\l=32\ meters[/tex]The length of basketball court is 32 meters and width is 13 meters.Keywords: perimeter, rectanglesLearn more about rectangles at:brainly.com/question/3799248brainly.com/question/3950386#LearnwithBrainly