Question

The ratio of length to width in a rectangle is 2:3. Find the length of the rectangle when the area is 150in2

Answer 1

Let the length of the rectangle be 2x and the width be 3x, since the ratio of length to width is 2:3. The area of the rectangle is given by:

length x width = (2x) x (3x) = 6x^2

We know that the area of the rectangle is 150in^2, so we can set up the equation:

6x^2 = 150

Simplifying this equation, we get:

x^2 = 25

Taking the square root of both sides, we get:

x = 5

Therefore, the width of the rectangle is 3x = 15, and the length of the rectangle is 2x = 10.

Answer: The length of the rectangle is 10 inches.