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?

Question

asked Jul 28, 2023 183k views

1 Answer

Michael Kay · Answer 1 · 2023-08-01T01:39:07+0000

We are given that:

Area of rectangle is given by:

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

Hence, putting the values in the formula:

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

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

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

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

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

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

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