# Area

## Teaching Area and Perimeter

Since they are introduced together, one frequently finds children mixing up the two concepts. Also formulae for arriving at these measures are brought in too quickly - well before the concepts are fully understood. One can avoid this problem by spacing out these two concepts. Area could be explored in the first stage as it occurs frequently in a child's everyday experiences.

## Pythagorean Triples part 4

Shailesh Shirali takes you to a wonderful tale of Pythagoren triples one more time.

## Octagon in a Square

An octagon is constructed within a square by joining each vertex of the square to the midpoints of the two sides remote from that vertex. Eight line segments are thus drawn within the square, creating an octagon (shown shaded). The following two questions had been posed: (i) Is the octagon regular? (ii) What is the ratio of the area of the octagon to that of the square?

## Practice Questions on Squares and Cubes

Let your learners figure out the questions and solutions to the worksheet that covers squares, cubes and their roots.

1.   Make a question on square root by using following information.

a.   196 sq ft

## Weekend Activity Balloon Bench

You have blown and burst a balloon. Have you ever made a bench out of them? Check this activity from Arvind Gupta and have fun.

## How to Prove it?

In this article, we offer a second proof of the triangle-in-a-triangle theorem, using the principles of similarity geometry. Then, using vectors, we prove a result which is a generalisation of that theorem.

## When does it have Maximum Area? ~ A GeoGebra Exploration

Use GeoGebra to check when will a rectangle have maximum area when it is inscribed in a triangle.

## How to Prove It

In this article we examine how to prove a result obtained after careful GeoGebra experimentation. It was featured in the March 2015 issue of At Right Angles, in the ‘Tech Space’ section.

## A Flower with Four Petals

Find the area marked x.

## How To Prove It - IV

This continues the ‘Proof’ column begun earlier. In this ‘episode’ we study some results from geometry related to the theme of concurrence.

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