Lesson: Area of a Square from the Diagonal Length

In this lesson, we will learn how to find the area of a square in terms of its diagonal, where the area equals half the square of the length of the diagonal.

Sample Question Videos

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Worksheet: 21 Questions • 2 Videos

Q1:

I have a piece of paper with area 190 cm². I cut out 4 congruent squares which each have a diagonal length of 8 cm. What is the area of the paper I have left?

Q2:

The diagonal length of a square is 42.5 cm. Find its area. Round the result to the nearest tenth.

Q3:

I have a piece of paper with area 231 cm². I cut out 5 congruent squares which each have a diagonal length of 8 cm. What is the area of the paper I have left?

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