Question

Suppose a farm has pens for raising insects. A pen is shaped as a rectangle that measures x meters wide and 2x meters long and has an area of 2.88 square meters. What is the value of "x"

Answer 1

1.2 meters.

Explanation:

Length of pen = 2x meters

width of pen = x meters

shape of pen is rectangular

we know that area of rectangle is given by length * width

Thus, area of the pen is x*2x =
`2x^2`

It is also given that area of pen is 2.8 square meters.

Equating numerical value of area with area in terms of x, we have

`2x^2 = 2.88\\=> x^2 = 2.88/2\\=> x^2 = 1.44\\=> x = 1.2`

Thus value of x is 1.2 meters.