122,144 views
33 votes
33 votes
Problem-solving

this diagram shows a square with a side length of 8 cm
work out the area of this square
calculate the diagonal of the square

Problem-solving this diagram shows a square with a side length of 8 cm work out the-example-1
User Josee
by
2.9k points

2 Answers

19 votes
19 votes

Answer:

Area is 64cm^2
Diagonal is 11.3cm

Explanation:

To find the area of a square, you need to multiply the length of one side by itself. In this case, the side length is 8 cm, so the area of the square is 8 x 8 = 64 square centimeters.

To find the diagonal of a square, you need to use the Pythagorean theorem. This states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. In this case, the diagonal of the square will be the hypotenuse of a right triangle with two sides that are each 8 cm long. So, to find the diagonal, we need to find the square root of 8 squared plus 8 squared, which is equal to the square root of 64 + 64, or the square root of 128. This means the diagonal of the square is approximately 11.3 cm.

User Sagar Gangwal
by
3.1k points
22 votes
22 votes
The area would be 8*8=64cm^2
User Kareem Dabbeet
by
3.7k points