Area problem: find the area of large and small squares

2022-05-14 0 By

Today is January 29, 2022. As the New Year approaches, let’s have a look at today’s topic.There are four exactly the same right triangle, their two right edge is 7cm, 5cm respectively, put them together into the shape of the picture, find the area of the large square, small square.After careful examination, we see that there are two problems, the area of the large square and the area of the small square, the area of the square is equal to the length of the side times the length of the side.So if we start from the formula, we’re going to have to figure out which side is better.We found it easier to calculate the area of the little square inside before we learned square roots and the Pythagorean theorem.So let’s figure out the sides of the little square first.After looking at the picture more closely, we find that the sides of the square + the short right side of the triangle = the long right side of the triangle, i.e. the sides of the square = the long right side of the triangle – the short right side of the triangle.Write down the formula: 7-5=2cm.The area of a small square: 2 x 2=4 square centimeters.So the next thing we need to do is figure out the area of the larger square, and since we can’t figure out the area of the square by calculating the sides of the square, we have to do something different.Think of another way to figure out the area of a large square.In fact, the area of the large square includes several parts: the area of the small square in the middle, and the area of the four small squares surrounding the small square.The area of a triangle: 7×5÷2=35÷2=17.5 square cm The area of four triangles: 17.5×4=70 square cm The area of a large square: 70+4=74 square cm