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Common Core (Geometry)

Common Core for Mathematics

Examples, solutions, videos and lessons to help High School students learn how to use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).

Common Core: HSG-MG.A.1

**Word Problems Involving Geometric Shapes**

Examples:

1. The longest runway at an airport has the shape of a rectangle and an area of 1,327,700 square feet. This runway is 110 feet wide. How long is the runway?

2. The flag of a country contains an isosceles triangle. If the measure of the third angle of the triangle is 35 more than three times the measure of either of the other two angles, find the measure of each angle of the triangle.

3. The perimeter of an equilateral triangle is 8 inches more than the perimeter of a square, and the side of the triangle is 5 inches longer than the side of the square. Find the side of the triangle.
**How far can you see from a plane window?**

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Common Core (Geometry)

Common Core for Mathematics

Examples, solutions, videos and lessons to help High School students learn how to use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).

Common Core: HSG-MG.A.1

Examples:

1. The longest runway at an airport has the shape of a rectangle and an area of 1,327,700 square feet. This runway is 110 feet wide. How long is the runway?

2. The flag of a country contains an isosceles triangle. If the measure of the third angle of the triangle is 35 more than three times the measure of either of the other two angles, find the measure of each angle of the triangle.

3. The perimeter of an equilateral triangle is 8 inches more than the perimeter of a square, and the side of the triangle is 5 inches longer than the side of the square. Find the side of the triangle.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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