Question

The area of a rectangle is 14 square units. It has side lengths a and b. Given the following value for a, find b. a = 2 & 1/3

Answer 1

Given:

The area of a rectangle = 14 square units.

The side lengths are a and b.

`a=2(1)/(3)`

To find:

The value of b.

Solution:

We know that, the area of a rectangle is:

`Area=Length* Width`

The area of the given rectangle is:

`14=a* b`

`14=2(1)/(3)* b`

`14=(2(3)+1)/(3)b`

`14=(6+1)/(3)b`

On further simplification, we get

`14=(7)/(3)b`

`14* 3=7b`

`42=7b`

Divide both sides by 7.

`(42)/(7)=b`

`6=b`

Therefore, the value of b is 6 units.