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Problem Solve: Reasoning to Find the Area Introduction

What strategies can I use to solve problems related to finding the area?

Goal:

Goal:

Have you ever been to an airport? How much does it cost to build one?

Airports are huge areas that have many different departments--food courts, luggage handling, waiting areas, runways, and offices. A new airport is being built in your community, and the designers are trying to find the best arrangement of the different departments. Airports cost a lot of money. Let's see if we can help them to find the cost of some of the departments and the area of each department!

A large airplane at the airport on the runway getting ready for takeoff.

Question

First they need to buy the land that the airport will be on. If the land costs $1000 per square mile, what is the cost of a piece of land that is 8 miles by 9 miles?

$72,000! That is because 8 miles \({\times}\) 9 miles \({=}\) 72 square miles times $1000 per square mile \({=}\) $72,000.

Let’s keep helping to find the cost of an airport!