Question

A basketball court is a rectangle with a perimeter of 19m^2 + 2m - 10 and a width of m^2. Find an expression for the length.

Answer 1

Answer:

perimeter of basketball court =19m²+2m-10

2(l+b). =19m²+2m-10

l+m²=19m²+2m-10/2

l=19m²+2m-10/2-m²

l=19m²+2m-10-2m²/2

l=17m²+2m-10/2

l=17m²/2+m+5

Answer 2

Question :

A basketball ⛹ court is rectangular in shape with a perimeter of 19m² + 2m - 10 and a width of m². Find an expression for the length.

Answer :

• An expression for length is 17/2 m² + m - 5

Step by step explanation :

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Here, we have :

• Perimeter = 19m² + 2m - 10
• Width = m²

Using formula :

$\qquad\red\bigstar\:{\tiny{\underline{\boxed{\bf{\green{Perimeter_{(rectangle)} = 2(Length + Width)}}}}}}$

Putting all know values :

$\dashrightarrow\qquad\sf 19m^2 + 2m - 10 = 2(Length + m^2)$

$\dashrightarrow\qquad\sf 19m^2 + 2m - 10 = 2(Length) + 2m^2$

$\dashrightarrow\qquad\sf 19m^2 + 2m - 10 - 2m^2 = 2(Length)$

$\dashrightarrow\qquad\sf 19m^2 - 2m^2 + 2m - 10 = 2(Length)$

$\dashrightarrow\qquad\sf 17m^2 + 2m - 10 = 2(Length)$

$\dashrightarrow\qquad\sf \dfrac{17m^2 + 2m - 10}{2} = Length$

$\dashrightarrow\qquad\sf \dfrac{17m^2}{2} + \dfrac{2m}{2} - \dfrac{10}{2} = Length$

$\dashrightarrow\qquad\sf \dfrac{17m^2}{2} + \dfrac{\cancel{2}m}{\cancel{2}} - \dfrac{\cancel{10}}{\cancel{2}} = Length$

$\dashrightarrow\qquad{\boxed{\frak{\pink{Length = \dfrac{17}{2}m^2 + m - 5 }}}}\:\purple\bigstar$

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$\small\therefore\:{\underline{\sf{Hence,\:an\:expression\:for\:length\:is\:\bf{\frac{17}{2}m^2 + m - 5}\:\sf{respectively.}}}}$