Question

A rectangle has an area of 0.24 of a square. What are some possibility for the length and width of the rectangle? Tell why

Answer 1

The possibilities of length and width of the rectangle are

x=1, y=0.24;

x=0.5, y=0.48;

x=0.25, y=0.96;

x=2, y=0.12

Explanation:

Given that the area is 0.24 square meter

The area of a rectangle is given by

`Area=length* width` square units

Let x be the length and y be the width.

Since the area is 0.24 square meter, we have the equation:

`Area=x* y = 0.24`, with x and y measures in meters

If we want to know some possibilities of x and y, we can assume a value for one of them, and then calculate the other one using the equation.

Now choosing some values for "x", we have:

Put x = 1

`1* y = 0.24`

∴ y = 0.24

Now put x = 0.5 we get

`0.5* y = 0.24`

∴ y = 0.48

Put x = 0.25

`0.25* y = 0.24`

∴ y = 0.96

Put x = 2

`2* y = 0.24`

∴ y = 0.12