Решение #
According to Jerry's request, we need to find out the area of the room.
A picture of the room will help us. We can see from the plan that the room is a rectangle, let’s draw it.
We know the value of one side of the room (let it be side a), and the distance between the opposite corners (let's draw this line — c). but we don't know the other side — b.
To find the area of the rectangle we can apply the formula
S = ab where side b is unknown.
However, we have the line between the opposite corners, which makes two triangles for us.
Sides a, b and c form a right triangle where c is the hypotenuse and a and b are the legs of the triangle.
Now we can apply Pythagoras’ Theorem (it's also often called Pythagorean Theorem).
a2 + b2 = c2 (the sum of the squares of lengths of the legs is equal to the square of the length of the hypotenuse)
and find out the value for b
b = корень(c2-a2)
The final formula for the area of the rectangle is
S = a корень(с2-а2)
If we put numbers instead of the letters, we get
S = 60
The calculated result is 60.
Solution: The area of the laboratory is sixty square metres. Jerry needs to buy sixty square metres of the floor covering.