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.

$a=2\dfrac{1}{3}$

To find:

The value of b.

Solution:

We know that, the area of a rectangle is:

$Area=Length\times Width$

The area of the given rectangle is:

$14=a\times b$

$14=2\dfrac{1}{3}\times b$

$14=\dfrac{2(3)+1}{3}b$

$14=\dfrac{6+1}{3}b$

On further simplification, we get

$14=\dfrac{7}{3}b$

$14\times 3=7b$

$42=7b$

Divide both sides by 7.

$\dfrac{42}{7}=b$

$6=b$

Therefore, the value of b is 6 units.