Question

A city block is 3 times as long as it is wide. If the distance around the block is 0.48 kilometers, what is the area of the block in square meters?

Answer 1

Answer:

$10,800\text{ m}^2$

Step-by-step explanation:

Let w represent the width of the city block.

We have been given that a city block is 3 times as long as it is wide, so the length of city block would be $3w$.

We are also told that the distance around the block is 0.48 kilometers, this means that perimeter of city block is 0.48 km.

1 km = 1000 meters.

0.48 km = 480 meters.

We know that perimeter of rectangle is 2 times the sum of length and width, so we can set an equation as:

$2(w+3w)=480$

$2(4w)=480$

$8w=480$

$\frac{8w}{w}=\frac{480}{8}$

$w=60$

Length is 3 times width $3*60=180$.

We know that area of rectangle is length times width.

$\text{Area of the block}=60\text{ m}\times 180\text{ m}$

$\text{Area of the block}=10,800\text{ m}^2$

Therefore, the area of the block is 10,800 square meters.