Question

the area of a rectangle is 30 to the square root of 3750 square inches, and the length is 3 to the square root of 250 inches. what is the width of the rectangle?

Answer 1

• 
  `\sf { width =10 √(15) \:inches}`

Solution:

We are given that:

• Area of rectangle is 30√3570
• Length of the rectangle is 3√250

Area of rectangle is given by:

`\implies\quad{\pmb{ \sf{Area = length* width}} }`

Hence, putting the values in the formula:

`\implies\quad \sf{ A = l* w}`

`\implies\quad \sf{ 30√(3750)=3√(250)* w}`

`\implies\quad \sf{3√(250)* w = 30√(3750) }`

`\implies\quad \sf{ w =(30√(3750))/(3√(250))}`

`\implies\quad \sf{ w =10(√(3750))/(√(250))}`

`\implies\quad \sf{ w = 10*\sqrt{(3750)/(250)}}`

`\implies\quad \underline{\underline{\pmb{\sf{ w =10√(15)}}}}`