Question

The area of a rectangle is 30√3750 square inches, and the length is 3√250 inches. What is the width of the rectangle?

a) 15√10 inches
b) 10√15 inches
c) 5√30 inches
d) 2√75 inches

Answer 1

The width of the rectangle is 10√15 inches.

Step-by-step explanation:

To find the width of the rectangle, we can use the formula for the area of a rectangle: length x width = area. Given that the area of the rectangle is 30√3750 square inches and the length is 3√250 inches, we can substitute these values into the formula to solve for the width:

(3√250) x width = 30√3750

Simplifying the equation:

width = (30√3750) / (3√250) = (10 x √3750) / √250 = 10√15 inches

Therefore, the width of the rectangle is 10√15 inches, which corresponds to option (b).